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Finding the Fourth Proportional to 1,177.60, 1,625.04 and 680.38

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Solution

The fourth proportional to 1,177.60, 1,625.04 and 680.38 is: 938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.60 : 1,625.04 = 680.38 : x
  2. Step 2: Convert to fraction form
    1,177.60/1,625.04 = 680.38/x
  3. Step 3: Cross multiply
    1,177.60x = 1,625.04 × 680.38
  4. Step 4: Simplify right side
    1,177.60x = 1,105,644.72
  5. Step 5: Solve for x
    x = 1,105,644.72/1,177.60
  6. Step 6: Final answer
    x = 938.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.