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Finding the Fourth Proportional to 617.60, 922.64 and 480.32

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Solution

The fourth proportional to 617.60, 922.64 and 480.32 is: 717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 922.64 = 480.32 : x
  2. Step 2: Convert to fraction form
    617.60/922.64 = 480.32/x
  3. Step 3: Cross multiply
    617.60x = 922.64 × 480.32
  4. Step 4: Simplify right side
    617.60x = 443,162.44
  5. Step 5: Solve for x
    x = 443,162.44/617.60
  6. Step 6: Final answer
    x = 717.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.