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Finding the Fourth Proportional to 674.41, 1,011.66 and 187.42

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Solution

The fourth proportional to 674.41, 1,011.66 and 187.42 is: 281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.41 : 1,011.66 = 187.42 : x
  2. Step 2: Convert to fraction form
    674.41/1,011.66 = 187.42/x
  3. Step 3: Cross multiply
    674.41x = 1,011.66 × 187.42
  4. Step 4: Simplify right side
    674.41x = 189,605.32
  5. Step 5: Solve for x
    x = 189,605.32/674.41
  6. Step 6: Final answer
    x = 281.14

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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.