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Finding the Fourth Proportional to 706.89, 974.38 and 527.14

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Solution

The fourth proportional to 706.89, 974.38 and 527.14 is: 726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.89 : 974.38 = 527.14 : x
  2. Step 2: Convert to fraction form
    706.89/974.38 = 527.14/x
  3. Step 3: Cross multiply
    706.89x = 974.38 × 527.14
  4. Step 4: Simplify right side
    706.89x = 513,627.17
  5. Step 5: Solve for x
    x = 513,627.17/706.89
  6. Step 6: Final answer
    x = 726.60

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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.