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Finding the Fourth Proportional to 912.87, 1,257.57 and 632.61

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Solution

The fourth proportional to 912.87, 1,257.57 and 632.61 is: 871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.87 : 1,257.57 = 632.61 : x
  2. Step 2: Convert to fraction form
    912.87/1,257.57 = 632.61/x
  3. Step 3: Cross multiply
    912.87x = 1,257.57 × 632.61
  4. Step 4: Simplify right side
    912.87x = 795,551.36
  5. Step 5: Solve for x
    x = 795,551.36/912.87
  6. Step 6: Final answer
    x = 871.48

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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.