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Finding the Fourth Proportional to 743.18, 1,115.29 and 548.69

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Solution

The fourth proportional to 743.18, 1,115.29 and 548.69 is: 823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.18 : 1,115.29 = 548.69 : x
  2. Step 2: Convert to fraction form
    743.18/1,115.29 = 548.69/x
  3. Step 3: Cross multiply
    743.18x = 1,115.29 × 548.69
  4. Step 4: Simplify right side
    743.18x = 611,948.47
  5. Step 5: Solve for x
    x = 611,948.47/743.18
  6. Step 6: Final answer
    x = 823.42

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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.