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Finding the Fourth Proportional to 617.60, 929.04 and 608.96

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Solution

The fourth proportional to 617.60, 929.04 and 608.96 is: 916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 929.04 = 608.96 : x
  2. Step 2: Convert to fraction form
    617.60/929.04 = 608.96/x
  3. Step 3: Cross multiply
    617.60x = 929.04 × 608.96
  4. Step 4: Simplify right side
    617.60x = 565,748.20
  5. Step 5: Solve for x
    x = 565,748.20/617.60
  6. Step 6: Final answer
    x = 916.04

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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.