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Finding the Fourth Proportional to 543.49, 811.80 and 451.15

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Solution

The fourth proportional to 543.49, 811.80 and 451.15 is: 673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.49 : 811.80 = 451.15 : x
  2. Step 2: Convert to fraction form
    543.49/811.80 = 451.15/x
  3. Step 3: Cross multiply
    543.49x = 811.80 × 451.15
  4. Step 4: Simplify right side
    543.49x = 366,243.57
  5. Step 5: Solve for x
    x = 366,243.57/543.49
  6. Step 6: Final answer
    x = 673.87

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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.