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Finding the Fourth Proportional to 1,311.83, 1,966.65 and 899.96

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Solution

The fourth proportional to 1,311.83, 1,966.65 and 899.96 is: 1,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.83 : 1,966.65 = 899.96 : x
  2. Step 2: Convert to fraction form
    1,311.83/1,966.65 = 899.96/x
  3. Step 3: Cross multiply
    1,311.83x = 1,966.65 × 899.96
  4. Step 4: Simplify right side
    1,311.83x = 1,769,906.33
  5. Step 5: Solve for x
    x = 1,769,906.33/1,311.83
  6. Step 6: Final answer
    x = 1,349.19

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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.