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Finding the Fourth Proportional to 437.98, 600.08 and 432.22

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Solution

The fourth proportional to 437.98, 600.08 and 432.22 is: 592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.98 : 600.08 = 432.22 : x
  2. Step 2: Convert to fraction form
    437.98/600.08 = 432.22/x
  3. Step 3: Cross multiply
    437.98x = 600.08 × 432.22
  4. Step 4: Simplify right side
    437.98x = 259,366.58
  5. Step 5: Solve for x
    x = 259,366.58/437.98
  6. Step 6: Final answer
    x = 592.19

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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.