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Finding the Fourth Proportional to 610.10, 837.87 and 511.68

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Solution

The fourth proportional to 610.10, 837.87 and 511.68 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.10 : 837.87 = 511.68 : x
  2. Step 2: Convert to fraction form
    610.10/837.87 = 511.68/x
  3. Step 3: Cross multiply
    610.10x = 837.87 × 511.68
  4. Step 4: Simplify right side
    610.10x = 428,721.32
  5. Step 5: Solve for x
    x = 428,721.32/610.10
  6. Step 6: Final answer
    x = 702.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.