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Finding the Fourth Proportional to 984.34, 1,475.09 and 521.70

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Solution

The fourth proportional to 984.34, 1,475.09 and 521.70 is: 781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.34 : 1,475.09 = 521.70 : x
  2. Step 2: Convert to fraction form
    984.34/1,475.09 = 521.70/x
  3. Step 3: Cross multiply
    984.34x = 1,475.09 × 521.70
  4. Step 4: Simplify right side
    984.34x = 769,554.45
  5. Step 5: Solve for x
    x = 769,554.45/984.34
  6. Step 6: Final answer
    x = 781.80

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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.