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Finding the Fourth Proportional to 865.90, 1,298.85 and 249.63

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Solution

The fourth proportional to 865.90, 1,298.85 and 249.63 is: 374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.90 : 1,298.85 = 249.63 : x
  2. Step 2: Convert to fraction form
    865.90/1,298.85 = 249.63/x
  3. Step 3: Cross multiply
    865.90x = 1,298.85 × 249.63
  4. Step 4: Simplify right side
    865.90x = 324,225.43
  5. Step 5: Solve for x
    x = 324,225.43/865.90
  6. Step 6: Final answer
    x = 374.44

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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.