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Finding the Fourth Proportional to 733.64, 1,010.24 and 627.96

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Solution

The fourth proportional to 733.64, 1,010.24 and 627.96 is: 864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.64 : 1,010.24 = 627.96 : x
  2. Step 2: Convert to fraction form
    733.64/1,010.24 = 627.96/x
  3. Step 3: Cross multiply
    733.64x = 1,010.24 × 627.96
  4. Step 4: Simplify right side
    733.64x = 634,390.31
  5. Step 5: Solve for x
    x = 634,390.31/733.64
  6. Step 6: Final answer
    x = 864.72

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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.