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Finding the Fourth Proportional to 617.46, 925.15 and 434.52

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Solution

The fourth proportional to 617.46, 925.15 and 434.52 is: 651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 925.15 = 434.52 : x
  2. Step 2: Convert to fraction form
    617.46/925.15 = 434.52/x
  3. Step 3: Cross multiply
    617.46x = 925.15 × 434.52
  4. Step 4: Simplify right side
    617.46x = 401,996.18
  5. Step 5: Solve for x
    x = 401,996.18/617.46
  6. Step 6: Final answer
    x = 651.05

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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.