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Finding the Fourth Proportional to 432.75, 652.37 and 426.27

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Solution

The fourth proportional to 432.75, 652.37 and 426.27 is: 642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 652.37 = 426.27 : x
  2. Step 2: Convert to fraction form
    432.75/652.37 = 426.27/x
  3. Step 3: Cross multiply
    432.75x = 652.37 × 426.27
  4. Step 4: Simplify right side
    432.75x = 278,086.83
  5. Step 5: Solve for x
    x = 278,086.83/432.75
  6. Step 6: Final answer
    x = 642.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.