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Finding the Fourth Proportional to 706.60, 974.02 and 457.88

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Solution

The fourth proportional to 706.60, 974.02 and 457.88 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 974.02 = 457.88 : x
  2. Step 2: Convert to fraction form
    706.60/974.02 = 457.88/x
  3. Step 3: Cross multiply
    706.60x = 974.02 × 457.88
  4. Step 4: Simplify right side
    706.60x = 445,984.28
  5. Step 5: Solve for x
    x = 445,984.28/706.60
  6. Step 6: Final answer
    x = 631.17

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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.