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Finding the Fourth Proportional to 1,187.55, 1,781.87 and 494.73

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Solution

The fourth proportional to 1,187.55, 1,781.87 and 494.73 is: 742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.55 : 1,781.87 = 494.73 : x
  2. Step 2: Convert to fraction form
    1,187.55/1,781.87 = 494.73/x
  3. Step 3: Cross multiply
    1,187.55x = 1,781.87 × 494.73
  4. Step 4: Simplify right side
    1,187.55x = 881,542.07
  5. Step 5: Solve for x
    x = 881,542.07/1,187.55
  6. Step 6: Final answer
    x = 742.32

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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.