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Finding the Fourth Proportional to 714.62, 985.92 and 493.17

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Solution

The fourth proportional to 714.62, 985.92 and 493.17 is: 680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.62 : 985.92 = 493.17 : x
  2. Step 2: Convert to fraction form
    714.62/985.92 = 493.17/x
  3. Step 3: Cross multiply
    714.62x = 985.92 × 493.17
  4. Step 4: Simplify right side
    714.62x = 486,226.17
  5. Step 5: Solve for x
    x = 486,226.17/714.62
  6. Step 6: Final answer
    x = 680.40

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Double scale
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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.