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Finding the Fourth Proportional to 637.60, 944.62 and 613.30

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Solution

The fourth proportional to 637.60, 944.62 and 613.30 is: 908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.60 : 944.62 = 613.30 : x
  2. Step 2: Convert to fraction form
    637.60/944.62 = 613.30/x
  3. Step 3: Cross multiply
    637.60x = 944.62 × 613.30
  4. Step 4: Simplify right side
    637.60x = 579,335.45
  5. Step 5: Solve for x
    x = 579,335.45/637.60
  6. Step 6: Final answer
    x = 908.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.