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Finding the Fourth Proportional to 743.11, 1,114.65 and 431.23

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Solution

The fourth proportional to 743.11, 1,114.65 and 431.23 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.11 : 1,114.65 = 431.23 : x
  2. Step 2: Convert to fraction form
    743.11/1,114.65 = 431.23/x
  3. Step 3: Cross multiply
    743.11x = 1,114.65 × 431.23
  4. Step 4: Simplify right side
    743.11x = 480,667.73
  5. Step 5: Solve for x
    x = 480,667.73/743.11
  6. Step 6: Final answer
    x = 646.83

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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.