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Finding the Fourth Proportional to 764.64, 1,139.18 and 738.54

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Solution

The fourth proportional to 764.64, 1,139.18 and 738.54 is: 1,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,139.18 = 738.54 : x
  2. Step 2: Convert to fraction form
    764.64/1,139.18 = 738.54/x
  3. Step 3: Cross multiply
    764.64x = 1,139.18 × 738.54
  4. Step 4: Simplify right side
    764.64x = 841,326.30
  5. Step 5: Solve for x
    x = 841,326.30/764.64
  6. Step 6: Final answer
    x = 1,100.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.