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Finding the Fourth Proportional to 674.21, 1,011.71 and 284.19

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Solution

The fourth proportional to 674.21, 1,011.71 and 284.19 is: 426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.21 : 1,011.71 = 284.19 : x
  2. Step 2: Convert to fraction form
    674.21/1,011.71 = 284.19/x
  3. Step 3: Cross multiply
    674.21x = 1,011.71 × 284.19
  4. Step 4: Simplify right side
    674.21x = 287,517.86
  5. Step 5: Solve for x
    x = 287,517.86/674.21
  6. Step 6: Final answer
    x = 426.45

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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.