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Finding the Fourth Proportional to 764.60, 1,145.10 and 749.12

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Solution

The fourth proportional to 764.60, 1,145.10 and 749.12 is: 1,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.60 : 1,145.10 = 749.12 : x
  2. Step 2: Convert to fraction form
    764.60/1,145.10 = 749.12/x
  3. Step 3: Cross multiply
    764.60x = 1,145.10 × 749.12
  4. Step 4: Simplify right side
    764.60x = 857,817.31
  5. Step 5: Solve for x
    x = 857,817.31/764.60
  6. Step 6: Final answer
    x = 1,121.92

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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.