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Finding the Fourth Proportional to 674.27, 1,010.59 and 308.55

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Solution

The fourth proportional to 674.27, 1,010.59 and 308.55 is: 462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.27 : 1,010.59 = 308.55 : x
  2. Step 2: Convert to fraction form
    674.27/1,010.59 = 308.55/x
  3. Step 3: Cross multiply
    674.27x = 1,010.59 × 308.55
  4. Step 4: Simplify right side
    674.27x = 311,816.77
  5. Step 5: Solve for x
    x = 311,816.77/674.27
  6. Step 6: Final answer
    x = 462.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.