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Finding the Fourth Proportional to 432.95, 645.40 and 426.26

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Solution

The fourth proportional to 432.95, 645.40 and 426.26 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.95 : 645.40 = 426.26 : x
  2. Step 2: Convert to fraction form
    432.95/645.40 = 426.26/x
  3. Step 3: Cross multiply
    432.95x = 645.40 × 426.26
  4. Step 4: Simplify right side
    432.95x = 275,110.35
  5. Step 5: Solve for x
    x = 275,110.35/432.95
  6. Step 6: Final answer
    x = 635.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.