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Finding the Fourth Proportional to 1,104.31, 1,658.78 and 931.32

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Solution

The fourth proportional to 1,104.31, 1,658.78 and 931.32 is: 1,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.31 : 1,658.78 = 931.32 : x
  2. Step 2: Convert to fraction form
    1,104.31/1,658.78 = 931.32/x
  3. Step 3: Cross multiply
    1,104.31x = 1,658.78 × 931.32
  4. Step 4: Simplify right side
    1,104.31x = 1,544,854.99
  5. Step 5: Solve for x
    x = 1,544,854.99/1,104.31
  6. Step 6: Final answer
    x = 1,398.93

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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.