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Finding the Fourth Proportional to 765.72, 1,153.44 and 746.28

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Solution

The fourth proportional to 765.72, 1,153.44 and 746.28 is: 1,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.72 : 1,153.44 = 746.28 : x
  2. Step 2: Convert to fraction form
    765.72/1,153.44 = 746.28/x
  3. Step 3: Cross multiply
    765.72x = 1,153.44 × 746.28
  4. Step 4: Simplify right side
    765.72x = 860,789.20
  5. Step 5: Solve for x
    x = 860,789.20/765.72
  6. Step 6: Final answer
    x = 1,124.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.