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Finding the Fourth Proportional to 540.29, 808.59 and 449.15

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Solution

The fourth proportional to 540.29, 808.59 and 449.15 is: 672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.29 : 808.59 = 449.15 : x
  2. Step 2: Convert to fraction form
    540.29/808.59 = 449.15/x
  3. Step 3: Cross multiply
    540.29x = 808.59 × 449.15
  4. Step 4: Simplify right side
    540.29x = 363,178.20
  5. Step 5: Solve for x
    x = 363,178.20/540.29
  6. Step 6: Final answer
    x = 672.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.