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Finding the Fourth Proportional to 984.52, 1,474.89 and 551.98

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Solution

The fourth proportional to 984.52, 1,474.89 and 551.98 is: 826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.52 : 1,474.89 = 551.98 : x
  2. Step 2: Convert to fraction form
    984.52/1,474.89 = 551.98/x
  3. Step 3: Cross multiply
    984.52x = 1,474.89 × 551.98
  4. Step 4: Simplify right side
    984.52x = 814,109.78
  5. Step 5: Solve for x
    x = 814,109.78/984.52
  6. Step 6: Final answer
    x = 826.91

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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.