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Finding the Fourth Proportional to 1,304.24, 1,799.80 and 714.76

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Solution

The fourth proportional to 1,304.24, 1,799.80 and 714.76 is: 986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.24 : 1,799.80 = 714.76 : x
  2. Step 2: Convert to fraction form
    1,304.24/1,799.80 = 714.76/x
  3. Step 3: Cross multiply
    1,304.24x = 1,799.80 × 714.76
  4. Step 4: Simplify right side
    1,304.24x = 1,286,425.05
  5. Step 5: Solve for x
    x = 1,286,425.05/1,304.24
  6. Step 6: Final answer
    x = 986.34

Related Problems

Find fourth proportional to 652.12, 899.90 and 357.38
Half scale
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Double scale
Find fourth proportional to 1,305.24, 1,801.18 and 715.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.