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Finding the Fourth Proportional to 733.58, 1,010.96 and 523.74

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Solution

The fourth proportional to 733.58, 1,010.96 and 523.74 is: 721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.58 : 1,010.96 = 523.74 : x
  2. Step 2: Convert to fraction form
    733.58/1,010.96 = 523.74/x
  3. Step 3: Cross multiply
    733.58x = 1,010.96 × 523.74
  4. Step 4: Simplify right side
    733.58x = 529,480.19
  5. Step 5: Solve for x
    x = 529,480.19/733.58
  6. Step 6: Final answer
    x = 721.78

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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.