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Finding the Fourth Proportional to 617.26, 924.94 and 385.53

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Solution

The fourth proportional to 617.26, 924.94 and 385.53 is: 577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.26 : 924.94 = 385.53 : x
  2. Step 2: Convert to fraction form
    617.26/924.94 = 385.53/x
  3. Step 3: Cross multiply
    617.26x = 924.94 × 385.53
  4. Step 4: Simplify right side
    617.26x = 356,592.12
  5. Step 5: Solve for x
    x = 356,592.12/617.26
  6. Step 6: Final answer
    x = 577.70

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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.