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Finding the Fourth Proportional to 542.49, 810.31 and 450.15

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Solution

The fourth proportional to 542.49, 810.31 and 450.15 is: 672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.49 : 810.31 = 450.15 : x
  2. Step 2: Convert to fraction form
    542.49/810.31 = 450.15/x
  3. Step 3: Cross multiply
    542.49x = 810.31 × 450.15
  4. Step 4: Simplify right side
    542.49x = 364,761.05
  5. Step 5: Solve for x
    x = 364,761.05/542.49
  6. Step 6: Final answer
    x = 672.38

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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.