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Finding the Fourth Proportional to 711.64, 1,066.09 and 381.76

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Solution

The fourth proportional to 711.64, 1,066.09 and 381.76 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.64 : 1,066.09 = 381.76 : x
  2. Step 2: Convert to fraction form
    711.64/1,066.09 = 381.76/x
  3. Step 3: Cross multiply
    711.64x = 1,066.09 × 381.76
  4. Step 4: Simplify right side
    711.64x = 406,992.54
  5. Step 5: Solve for x
    x = 406,992.54/711.64
  6. Step 6: Final answer
    x = 571.91

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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.