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Finding the Fourth Proportional to 632.76, 874.17 and 540.45

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Solution

The fourth proportional to 632.76, 874.17 and 540.45 is: 746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.76 : 874.17 = 540.45 : x
  2. Step 2: Convert to fraction form
    632.76/874.17 = 540.45/x
  3. Step 3: Cross multiply
    632.76x = 874.17 × 540.45
  4. Step 4: Simplify right side
    632.76x = 472,445.18
  5. Step 5: Solve for x
    x = 472,445.18/632.76
  6. Step 6: Final answer
    x = 746.64

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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.