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Finding the Fourth Proportional to 617.29, 924.19 and 411.46

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Solution

The fourth proportional to 617.29, 924.19 and 411.46 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.29 : 924.19 = 411.46 : x
  2. Step 2: Convert to fraction form
    617.29/924.19 = 411.46/x
  3. Step 3: Cross multiply
    617.29x = 924.19 × 411.46
  4. Step 4: Simplify right side
    617.29x = 380,263.88
  5. Step 5: Solve for x
    x = 380,263.88/617.29
  6. Step 6: Final answer
    x = 616.02

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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.