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Finding the Fourth Proportional to 706.68, 974.60 and 457.76

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Solution

The fourth proportional to 706.68, 974.60 and 457.76 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.68 : 974.60 = 457.76 : x
  2. Step 2: Convert to fraction form
    706.68/974.60 = 457.76/x
  3. Step 3: Cross multiply
    706.68x = 974.60 × 457.76
  4. Step 4: Simplify right side
    706.68x = 446,136.48
  5. Step 5: Solve for x
    x = 446,136.48/706.68
  6. Step 6: Final answer
    x = 631.31

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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.