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Finding the Fourth Proportional to 1,352.66, 1,867.01 and 763.54

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Solution

The fourth proportional to 1,352.66, 1,867.01 and 763.54 is: 1,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.66 : 1,867.01 = 763.54 : x
  2. Step 2: Convert to fraction form
    1,352.66/1,867.01 = 763.54/x
  3. Step 3: Cross multiply
    1,352.66x = 1,867.01 × 763.54
  4. Step 4: Simplify right side
    1,352.66x = 1,425,536.82
  5. Step 5: Solve for x
    x = 1,425,536.82/1,352.66
  6. Step 6: Final answer
    x = 1,053.88

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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.