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Finding the Fourth Proportional to 985.67, 1,478.56 and 327.61

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Solution

The fourth proportional to 985.67, 1,478.56 and 327.61 is: 491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.67 : 1,478.56 = 327.61 : x
  2. Step 2: Convert to fraction form
    985.67/1,478.56 = 327.61/x
  3. Step 3: Cross multiply
    985.67x = 1,478.56 × 327.61
  4. Step 4: Simplify right side
    985.67x = 484,386.53
  5. Step 5: Solve for x
    x = 484,386.53/985.67
  6. Step 6: Final answer
    x = 491.43

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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.