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Finding the Fourth Proportional to 984.19, 1,475.42 and 522.29

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Solution

The fourth proportional to 984.19, 1,475.42 and 522.29 is: 782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.19 : 1,475.42 = 522.29 : x
  2. Step 2: Convert to fraction form
    984.19/1,475.42 = 522.29/x
  3. Step 3: Cross multiply
    984.19x = 1,475.42 × 522.29
  4. Step 4: Simplify right side
    984.19x = 770,597.11
  5. Step 5: Solve for x
    x = 770,597.11/984.19
  6. Step 6: Final answer
    x = 782.98

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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.