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Finding the Fourth Proportional to 610.20, 840.24 and 527.16

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Solution

The fourth proportional to 610.20, 840.24 and 527.16 is: 725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 840.24 = 527.16 : x
  2. Step 2: Convert to fraction form
    610.20/840.24 = 527.16/x
  3. Step 3: Cross multiply
    610.20x = 840.24 × 527.16
  4. Step 4: Simplify right side
    610.20x = 442,940.92
  5. Step 5: Solve for x
    x = 442,940.92/610.20
  6. Step 6: Final answer
    x = 725.89

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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.