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Finding the Fourth Proportional to 617.61, 924.29 and 434.15

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Solution

The fourth proportional to 617.61, 924.29 and 434.15 is: 649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.61 : 924.29 = 434.15 : x
  2. Step 2: Convert to fraction form
    617.61/924.29 = 434.15/x
  3. Step 3: Cross multiply
    617.61x = 924.29 × 434.15
  4. Step 4: Simplify right side
    617.61x = 401,280.50
  5. Step 5: Solve for x
    x = 401,280.50/617.61
  6. Step 6: Final answer
    x = 649.73

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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.