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Finding the Fourth Proportional to 706.31, 974.38 and 457.71

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Solution

The fourth proportional to 706.31, 974.38 and 457.71 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.31 : 974.38 = 457.71 : x
  2. Step 2: Convert to fraction form
    706.31/974.38 = 457.71/x
  3. Step 3: Cross multiply
    706.31x = 974.38 × 457.71
  4. Step 4: Simplify right side
    706.31x = 445,981.18
  5. Step 5: Solve for x
    x = 445,981.18/706.31
  6. Step 6: Final answer
    x = 631.42

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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.