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Finding the Fourth Proportional to 617.40, 927.90 and 538.20

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Solution

The fourth proportional to 617.40, 927.90 and 538.20 is: 808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.40 : 927.90 = 538.20 : x
  2. Step 2: Convert to fraction form
    617.40/927.90 = 538.20/x
  3. Step 3: Cross multiply
    617.40x = 927.90 × 538.20
  4. Step 4: Simplify right side
    617.40x = 499,395.78
  5. Step 5: Solve for x
    x = 499,395.78/617.40
  6. Step 6: Final answer
    x = 808.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.