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Finding the Fourth Proportional to 937.33, 1,403.87 and 782.42

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Solution

The fourth proportional to 937.33, 1,403.87 and 782.42 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.33 : 1,403.87 = 782.42 : x
  2. Step 2: Convert to fraction form
    937.33/1,403.87 = 782.42/x
  3. Step 3: Cross multiply
    937.33x = 1,403.87 × 782.42
  4. Step 4: Simplify right side
    937.33x = 1,098,405.03
  5. Step 5: Solve for x
    x = 1,098,405.03/937.33
  6. Step 6: Final answer
    x = 1,171.85

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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.