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Finding the Fourth Proportional to 984.96, 1,474.92 and 496.71

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Solution

The fourth proportional to 984.96, 1,474.92 and 496.71 is: 743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,474.92 = 496.71 : x
  2. Step 2: Convert to fraction form
    984.96/1,474.92 = 496.71/x
  3. Step 3: Cross multiply
    984.96x = 1,474.92 × 496.71
  4. Step 4: Simplify right side
    984.96x = 732,607.51
  5. Step 5: Solve for x
    x = 732,607.51/984.96
  6. Step 6: Final answer
    x = 743.79

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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.