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Finding the Fourth Proportional to 743.66, 1,115.99 and 397.24

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Solution

The fourth proportional to 743.66, 1,115.99 and 397.24 is: 596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.66 : 1,115.99 = 397.24 : x
  2. Step 2: Convert to fraction form
    743.66/1,115.99 = 397.24/x
  3. Step 3: Cross multiply
    743.66x = 1,115.99 × 397.24
  4. Step 4: Simplify right side
    743.66x = 443,316.84
  5. Step 5: Solve for x
    x = 443,316.84/743.66
  6. Step 6: Final answer
    x = 596.13

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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.