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Finding the Fourth Proportional to 475.71, 709.35 and 457.08

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Solution

The fourth proportional to 475.71, 709.35 and 457.08 is: 681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.71 : 709.35 = 457.08 : x
  2. Step 2: Convert to fraction form
    475.71/709.35 = 457.08/x
  3. Step 3: Cross multiply
    475.71x = 709.35 × 457.08
  4. Step 4: Simplify right side
    475.71x = 324,229.70
  5. Step 5: Solve for x
    x = 324,229.70/475.71
  6. Step 6: Final answer
    x = 681.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.