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Finding the Fourth Proportional to 710.82, 1,066.56 and 381.54

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Solution

The fourth proportional to 710.82, 1,066.56 and 381.54 is: 572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 1,066.56 = 381.54 : x
  2. Step 2: Convert to fraction form
    710.82/1,066.56 = 381.54/x
  3. Step 3: Cross multiply
    710.82x = 1,066.56 × 381.54
  4. Step 4: Simplify right side
    710.82x = 406,935.30
  5. Step 5: Solve for x
    x = 406,935.30/710.82
  6. Step 6: Final answer
    x = 572.49

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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.