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Finding the Fourth Proportional to 762.70, 1,144.32 and 397.48

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Solution

The fourth proportional to 762.70, 1,144.32 and 397.48 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.70 : 1,144.32 = 397.48 : x
  2. Step 2: Convert to fraction form
    762.70/1,144.32 = 397.48/x
  3. Step 3: Cross multiply
    762.70x = 1,144.32 × 397.48
  4. Step 4: Simplify right side
    762.70x = 454,844.31
  5. Step 5: Solve for x
    x = 454,844.31/762.70
  6. Step 6: Final answer
    x = 596.36

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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.