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Finding the Fourth Proportional to 1,462.13, 2,017.68 and 872.99

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Solution

The fourth proportional to 1,462.13, 2,017.68 and 872.99 is: 1,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.13 : 2,017.68 = 872.99 : x
  2. Step 2: Convert to fraction form
    1,462.13/2,017.68 = 872.99/x
  3. Step 3: Cross multiply
    1,462.13x = 2,017.68 × 872.99
  4. Step 4: Simplify right side
    1,462.13x = 1,761,414.46
  5. Step 5: Solve for x
    x = 1,761,414.46/1,462.13
  6. Step 6: Final answer
    x = 1,204.69

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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.