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Finding the Fourth Proportional to 1,201.58, 1,658.34 and 677.60

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Solution

The fourth proportional to 1,201.58, 1,658.34 and 677.60 is: 935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.58 : 1,658.34 = 677.60 : x
  2. Step 2: Convert to fraction form
    1,201.58/1,658.34 = 677.60/x
  3. Step 3: Cross multiply
    1,201.58x = 1,658.34 × 677.60
  4. Step 4: Simplify right side
    1,201.58x = 1,123,691.18
  5. Step 5: Solve for x
    x = 1,123,691.18/1,201.58
  6. Step 6: Final answer
    x = 935.18

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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.