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Finding the Fourth Proportional to 674.50, 1,011.17 and 235.69

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Solution

The fourth proportional to 674.50, 1,011.17 and 235.69 is: 353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.50 : 1,011.17 = 235.69 : x
  2. Step 2: Convert to fraction form
    674.50/1,011.17 = 235.69/x
  3. Step 3: Cross multiply
    674.50x = 1,011.17 × 235.69
  4. Step 4: Simplify right side
    674.50x = 238,318.21
  5. Step 5: Solve for x
    x = 238,318.21/674.50
  6. Step 6: Final answer
    x = 353.32

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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.