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Finding the Fourth Proportional to 449.43, 614.51 and 432.42

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Solution

The fourth proportional to 449.43, 614.51 and 432.42 is: 591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.43 : 614.51 = 432.42 : x
  2. Step 2: Convert to fraction form
    449.43/614.51 = 432.42/x
  3. Step 3: Cross multiply
    449.43x = 614.51 × 432.42
  4. Step 4: Simplify right side
    449.43x = 265,724.25
  5. Step 5: Solve for x
    x = 265,724.25/449.43
  6. Step 6: Final answer
    x = 591.25

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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.