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Finding the Fourth Proportional to 711.53, 1,064.95 and 381.97

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Solution

The fourth proportional to 711.53, 1,064.95 and 381.97 is: 571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.53 : 1,064.95 = 381.97 : x
  2. Step 2: Convert to fraction form
    711.53/1,064.95 = 381.97/x
  3. Step 3: Cross multiply
    711.53x = 1,064.95 × 381.97
  4. Step 4: Simplify right side
    711.53x = 406,773.34
  5. Step 5: Solve for x
    x = 406,773.34/711.53
  6. Step 6: Final answer
    x = 571.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.