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Finding the Fourth Proportional to 617.49, 921.27 and 588.10

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Solution

The fourth proportional to 617.49, 921.27 and 588.10 is: 877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 921.27 = 588.10 : x
  2. Step 2: Convert to fraction form
    617.49/921.27 = 588.10/x
  3. Step 3: Cross multiply
    617.49x = 921.27 × 588.10
  4. Step 4: Simplify right side
    617.49x = 541,799.22
  5. Step 5: Solve for x
    x = 541,799.22/617.49
  6. Step 6: Final answer
    x = 877.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.