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Finding the Fourth Proportional to 610.93, 841.14 and 527.91

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Solution

The fourth proportional to 610.93, 841.14 and 527.91 is: 726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.93 : 841.14 = 527.91 : x
  2. Step 2: Convert to fraction form
    610.93/841.14 = 527.91/x
  3. Step 3: Cross multiply
    610.93x = 841.14 × 527.91
  4. Step 4: Simplify right side
    610.93x = 444,046.22
  5. Step 5: Solve for x
    x = 444,046.22/610.93
  6. Step 6: Final answer
    x = 726.84

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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.