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Finding the Fourth Proportional to 743.39, 1,115.09 and 310.55

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Solution

The fourth proportional to 743.39, 1,115.09 and 310.55 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.39 : 1,115.09 = 310.55 : x
  2. Step 2: Convert to fraction form
    743.39/1,115.09 = 310.55/x
  3. Step 3: Cross multiply
    743.39x = 1,115.09 × 310.55
  4. Step 4: Simplify right side
    743.39x = 346,286.40
  5. Step 5: Solve for x
    x = 346,286.40/743.39
  6. Step 6: Final answer
    x = 465.82

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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.