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Finding the Fourth Proportional to 674.04, 1,011.12 and 511.20

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Solution

The fourth proportional to 674.04, 1,011.12 and 511.20 is: 766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.04 : 1,011.12 = 511.20 : x
  2. Step 2: Convert to fraction form
    674.04/1,011.12 = 511.20/x
  3. Step 3: Cross multiply
    674.04x = 1,011.12 × 511.20
  4. Step 4: Simplify right side
    674.04x = 516,884.54
  5. Step 5: Solve for x
    x = 516,884.54/674.04
  6. Step 6: Final answer
    x = 766.85

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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.