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Finding the Fourth Proportional to 870.91, 1,201.24 and 634.61

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Solution

The fourth proportional to 870.91, 1,201.24 and 634.61 is: 875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.91 : 1,201.24 = 634.61 : x
  2. Step 2: Convert to fraction form
    870.91/1,201.24 = 634.61/x
  3. Step 3: Cross multiply
    870.91x = 1,201.24 × 634.61
  4. Step 4: Simplify right side
    870.91x = 762,318.92
  5. Step 5: Solve for x
    x = 762,318.92/870.91
  6. Step 6: Final answer
    x = 875.31

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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.