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Finding the Fourth Proportional to 1,451.32, 2,002.98 and 862

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Solution

The fourth proportional to 1,451.32, 2,002.98 and 862 is: 1,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.32 : 2,002.98 = 862 : x
  2. Step 2: Convert to fraction form
    1,451.32/2,002.98 = 862/x
  3. Step 3: Cross multiply
    1,451.32x = 2,002.98 × 862
  4. Step 4: Simplify right side
    1,451.32x = 1,726,568.76
  5. Step 5: Solve for x
    x = 1,726,568.76/1,451.32
  6. Step 6: Final answer
    x = 1,189.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.