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Finding the Fourth Proportional to 632.54, 869.38 and 558.41

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Solution

The fourth proportional to 632.54, 869.38 and 558.41 is: 767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.54 : 869.38 = 558.41 : x
  2. Step 2: Convert to fraction form
    632.54/869.38 = 558.41/x
  3. Step 3: Cross multiply
    632.54x = 869.38 × 558.41
  4. Step 4: Simplify right side
    632.54x = 485,470.49
  5. Step 5: Solve for x
    x = 485,470.49/632.54
  6. Step 6: Final answer
    x = 767.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.