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Finding the Fourth Proportional to 1,026.92, 1,538.26 and 763.88

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Solution

The fourth proportional to 1,026.92, 1,538.26 and 763.88 is: 1,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.92 : 1,538.26 = 763.88 : x
  2. Step 2: Convert to fraction form
    1,026.92/1,538.26 = 763.88/x
  3. Step 3: Cross multiply
    1,026.92x = 1,538.26 × 763.88
  4. Step 4: Simplify right side
    1,026.92x = 1,175,036.45
  5. Step 5: Solve for x
    x = 1,175,036.45/1,026.92
  6. Step 6: Final answer
    x = 1,144.23

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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.