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Finding the Fourth Proportional to 617.25, 924.95 and 411.78

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Solution

The fourth proportional to 617.25, 924.95 and 411.78 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.25 : 924.95 = 411.78 : x
  2. Step 2: Convert to fraction form
    617.25/924.95 = 411.78/x
  3. Step 3: Cross multiply
    617.25x = 924.95 × 411.78
  4. Step 4: Simplify right side
    617.25x = 380,880.41
  5. Step 5: Solve for x
    x = 380,880.41/617.25
  6. Step 6: Final answer
    x = 617.06

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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.