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Finding the Fourth Proportional to 1,458.47, 2,012.64 and 868.70

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Solution

The fourth proportional to 1,458.47, 2,012.64 and 868.70 is: 1,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.47 : 2,012.64 = 868.70 : x
  2. Step 2: Convert to fraction form
    1,458.47/2,012.64 = 868.70/x
  3. Step 3: Cross multiply
    1,458.47x = 2,012.64 × 868.70
  4. Step 4: Simplify right side
    1,458.47x = 1,748,380.37
  5. Step 5: Solve for x
    x = 1,748,380.37/1,458.47
  6. Step 6: Final answer
    x = 1,198.78

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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.