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Finding the Fourth Proportional to 1,304.23, 1,799.87 and 714.80

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Solution

The fourth proportional to 1,304.23, 1,799.87 and 714.80 is: 986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.23 : 1,799.87 = 714.80 : x
  2. Step 2: Convert to fraction form
    1,304.23/1,799.87 = 714.80/x
  3. Step 3: Cross multiply
    1,304.23x = 1,799.87 × 714.80
  4. Step 4: Simplify right side
    1,304.23x = 1,286,546.96
  5. Step 5: Solve for x
    x = 1,286,546.96/1,304.23
  6. Step 6: Final answer
    x = 986.44

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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.