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Finding the Fourth Proportional to 782.07, 1,173.10 and 734.55

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Solution

The fourth proportional to 782.07, 1,173.10 and 734.55 is: 1,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.07 : 1,173.10 = 734.55 : x
  2. Step 2: Convert to fraction form
    782.07/1,173.10 = 734.55/x
  3. Step 3: Cross multiply
    782.07x = 1,173.10 × 734.55
  4. Step 4: Simplify right side
    782.07x = 861,700.61
  5. Step 5: Solve for x
    x = 861,700.61/782.07
  6. Step 6: Final answer
    x = 1,101.82

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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.