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Finding the Fourth Proportional to 782.21, 1,174.53 and 747.59

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Solution

The fourth proportional to 782.21, 1,174.53 and 747.59 is: 1,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.21 : 1,174.53 = 747.59 : x
  2. Step 2: Convert to fraction form
    782.21/1,174.53 = 747.59/x
  3. Step 3: Cross multiply
    782.21x = 1,174.53 × 747.59
  4. Step 4: Simplify right side
    782.21x = 878,061.01
  5. Step 5: Solve for x
    x = 878,061.01/782.21
  6. Step 6: Final answer
    x = 1,122.55

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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.