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Finding the Fourth Proportional to 1,274.15, 1,758.32 and 714.62

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Solution

The fourth proportional to 1,274.15, 1,758.32 and 714.62 is: 986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.15 : 1,758.32 = 714.62 : x
  2. Step 2: Convert to fraction form
    1,274.15/1,758.32 = 714.62/x
  3. Step 3: Cross multiply
    1,274.15x = 1,758.32 × 714.62
  4. Step 4: Simplify right side
    1,274.15x = 1,256,530.64
  5. Step 5: Solve for x
    x = 1,256,530.64/1,274.15
  6. Step 6: Final answer
    x = 986.17

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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.