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Finding the Fourth Proportional to 1,264.68, 1,734.12 and 1,139.84

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Solution

The fourth proportional to 1,264.68, 1,734.12 and 1,139.84 is: 1,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.68 : 1,734.12 = 1,139.84 : x
  2. Step 2: Convert to fraction form
    1,264.68/1,734.12 = 1,139.84/x
  3. Step 3: Cross multiply
    1,264.68x = 1,734.12 × 1,139.84
  4. Step 4: Simplify right side
    1,264.68x = 1,976,619.34
  5. Step 5: Solve for x
    x = 1,976,619.34/1,264.68
  6. Step 6: Final answer
    x = 1,562.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.