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Finding the Fourth Proportional to 765.68, 1,148.56 and 675

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Solution

The fourth proportional to 765.68, 1,148.56 and 675 is: 1,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.68 : 1,148.56 = 675 : x
  2. Step 2: Convert to fraction form
    765.68/1,148.56 = 675/x
  3. Step 3: Cross multiply
    765.68x = 1,148.56 × 675
  4. Step 4: Simplify right side
    765.68x = 775,278
  5. Step 5: Solve for x
    x = 775,278/765.68
  6. Step 6: Final answer
    x = 1,012.54

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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.