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Finding the Fourth Proportional to 743.20, 1,115.21 and 469.42

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Solution

The fourth proportional to 743.20, 1,115.21 and 469.42 is: 704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.20 : 1,115.21 = 469.42 : x
  2. Step 2: Convert to fraction form
    743.20/1,115.21 = 469.42/x
  3. Step 3: Cross multiply
    743.20x = 1,115.21 × 469.42
  4. Step 4: Simplify right side
    743.20x = 523,499.53
  5. Step 5: Solve for x
    x = 523,499.53/743.20
  6. Step 6: Final answer
    x = 704.39

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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.