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Finding the Fourth Proportional to 800.98, 1,201.48 and 253.15

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Solution

The fourth proportional to 800.98, 1,201.48 and 253.15 is: 379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.98 : 1,201.48 = 253.15 : x
  2. Step 2: Convert to fraction form
    800.98/1,201.48 = 253.15/x
  3. Step 3: Cross multiply
    800.98x = 1,201.48 × 253.15
  4. Step 4: Simplify right side
    800.98x = 304,151.03
  5. Step 5: Solve for x
    x = 304,151.03/800.98
  6. Step 6: Final answer
    x = 379.72

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Double scale
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Similar ratio
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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.