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Finding the Fourth Proportional to 711.08, 980.71 and 462.71

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Solution

The fourth proportional to 711.08, 980.71 and 462.71 is: 638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.08 : 980.71 = 462.71 : x
  2. Step 2: Convert to fraction form
    711.08/980.71 = 462.71/x
  3. Step 3: Cross multiply
    711.08x = 980.71 × 462.71
  4. Step 4: Simplify right side
    711.08x = 453,785.62
  5. Step 5: Solve for x
    x = 453,785.62/711.08
  6. Step 6: Final answer
    x = 638.17

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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.