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Finding the Fourth Proportional to 756.66, 1,132.56 and 494.55

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Solution

The fourth proportional to 756.66, 1,132.56 and 494.55 is: 740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.66 : 1,132.56 = 494.55 : x
  2. Step 2: Convert to fraction form
    756.66/1,132.56 = 494.55/x
  3. Step 3: Cross multiply
    756.66x = 1,132.56 × 494.55
  4. Step 4: Simplify right side
    756.66x = 560,107.55
  5. Step 5: Solve for x
    x = 560,107.55/756.66
  6. Step 6: Final answer
    x = 740.24

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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.