Home / 1,020.20-1,531.10-472.44

Finding the Fourth Proportional to 1,020.20, 1,531.10 and 472.44

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Solution

The fourth proportional to 1,020.20, 1,531.10 and 472.44 is: 709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.20 : 1,531.10 = 472.44 : x
  2. Step 2: Convert to fraction form
    1,020.20/1,531.10 = 472.44/x
  3. Step 3: Cross multiply
    1,020.20x = 1,531.10 × 472.44
  4. Step 4: Simplify right side
    1,020.20x = 723,352.88
  5. Step 5: Solve for x
    x = 723,352.88/1,020.20
  6. Step 6: Final answer
    x = 709.03

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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.