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Finding the Fourth Proportional to 769.32, 1,148.52 and 742.32

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Solution

The fourth proportional to 769.32, 1,148.52 and 742.32 is: 1,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.32 : 1,148.52 = 742.32 : x
  2. Step 2: Convert to fraction form
    769.32/1,148.52 = 742.32/x
  3. Step 3: Cross multiply
    769.32x = 1,148.52 × 742.32
  4. Step 4: Simplify right side
    769.32x = 852,569.37
  5. Step 5: Solve for x
    x = 852,569.37/769.32
  6. Step 6: Final answer
    x = 1,108.21

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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.