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Finding the Fourth Proportional to 743.69, 1,115.67 and 310.85

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Solution

The fourth proportional to 743.69, 1,115.67 and 310.85 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.69 : 1,115.67 = 310.85 : x
  2. Step 2: Convert to fraction form
    743.69/1,115.67 = 310.85/x
  3. Step 3: Cross multiply
    743.69x = 1,115.67 × 310.85
  4. Step 4: Simplify right side
    743.69x = 346,806.02
  5. Step 5: Solve for x
    x = 346,806.02/743.69
  6. Step 6: Final answer
    x = 466.33

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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.