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Finding the Fourth Proportional to 674.12, 1,011.92 and 430.85

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Solution

The fourth proportional to 674.12, 1,011.92 and 430.85 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.12 : 1,011.92 = 430.85 : x
  2. Step 2: Convert to fraction form
    674.12/1,011.92 = 430.85/x
  3. Step 3: Cross multiply
    674.12x = 1,011.92 × 430.85
  4. Step 4: Simplify right side
    674.12x = 435,978.52
  5. Step 5: Solve for x
    x = 435,978.52/674.12
  6. Step 6: Final answer
    x = 646.74

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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.