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Finding the Fourth Proportional to 782.92, 1,167.62 and 746.47

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Solution

The fourth proportional to 782.92, 1,167.62 and 746.47 is: 1,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.92 : 1,167.62 = 746.47 : x
  2. Step 2: Convert to fraction form
    782.92/1,167.62 = 746.47/x
  3. Step 3: Cross multiply
    782.92x = 1,167.62 × 746.47
  4. Step 4: Simplify right side
    782.92x = 871,593.30
  5. Step 5: Solve for x
    x = 871,593.30/782.92
  6. Step 6: Final answer
    x = 1,113.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.