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Finding the Fourth Proportional to 617.60, 924.15 and 455.60

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Solution

The fourth proportional to 617.60, 924.15 and 455.60 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 924.15 = 455.60 : x
  2. Step 2: Convert to fraction form
    617.60/924.15 = 455.60/x
  3. Step 3: Cross multiply
    617.60x = 924.15 × 455.60
  4. Step 4: Simplify right side
    617.60x = 421,042.74
  5. Step 5: Solve for x
    x = 421,042.74/617.60
  6. Step 6: Final answer
    x = 681.74

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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.