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Finding the Fourth Proportional to 610.71, 840.27 and 527.55

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Solution

The fourth proportional to 610.71, 840.27 and 527.55 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.71 : 840.27 = 527.55 : x
  2. Step 2: Convert to fraction form
    610.71/840.27 = 527.55/x
  3. Step 3: Cross multiply
    610.71x = 840.27 × 527.55
  4. Step 4: Simplify right side
    610.71x = 443,284.44
  5. Step 5: Solve for x
    x = 443,284.44/610.71
  6. Step 6: Final answer
    x = 725.85

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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.