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Finding the Fourth Proportional to 1,060.78, 1,463.88 and 588.68

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Solution

The fourth proportional to 1,060.78, 1,463.88 and 588.68 is: 812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.78 : 1,463.88 = 588.68 : x
  2. Step 2: Convert to fraction form
    1,060.78/1,463.88 = 588.68/x
  3. Step 3: Cross multiply
    1,060.78x = 1,463.88 × 588.68
  4. Step 4: Simplify right side
    1,060.78x = 861,762.75
  5. Step 5: Solve for x
    x = 861,762.75/1,060.78
  6. Step 6: Final answer
    x = 812.39

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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.