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Finding the Fourth Proportional to 1,250.93, 1,873.51 and 763.11

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Solution

The fourth proportional to 1,250.93, 1,873.51 and 763.11 is: 1,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.93 : 1,873.51 = 763.11 : x
  2. Step 2: Convert to fraction form
    1,250.93/1,873.51 = 763.11/x
  3. Step 3: Cross multiply
    1,250.93x = 1,873.51 × 763.11
  4. Step 4: Simplify right side
    1,250.93x = 1,429,694.22
  5. Step 5: Solve for x
    x = 1,429,694.22/1,250.93
  6. Step 6: Final answer
    x = 1,142.91

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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.