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Finding the Fourth Proportional to 743.24, 1,114.84 and 249.68

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Solution

The fourth proportional to 743.24, 1,114.84 and 249.68 is: 374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.24 : 1,114.84 = 249.68 : x
  2. Step 2: Convert to fraction form
    743.24/1,114.84 = 249.68/x
  3. Step 3: Cross multiply
    743.24x = 1,114.84 × 249.68
  4. Step 4: Simplify right side
    743.24x = 278,353.25
  5. Step 5: Solve for x
    x = 278,353.25/743.24
  6. Step 6: Final answer
    x = 374.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.