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Finding the Fourth Proportional to 733.29, 1,012.31 and 498.48

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Solution

The fourth proportional to 733.29, 1,012.31 and 498.48 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.29 : 1,012.31 = 498.48 : x
  2. Step 2: Convert to fraction form
    733.29/1,012.31 = 498.48/x
  3. Step 3: Cross multiply
    733.29x = 1,012.31 × 498.48
  4. Step 4: Simplify right side
    733.29x = 504,616.29
  5. Step 5: Solve for x
    x = 504,616.29/733.29
  6. Step 6: Final answer
    x = 688.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.