Home / 1,020.90-1,531.89-610.85

Finding the Fourth Proportional to 1,020.90, 1,531.89 and 610.85

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Solution

The fourth proportional to 1,020.90, 1,531.89 and 610.85 is: 916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.90 : 1,531.89 = 610.85 : x
  2. Step 2: Convert to fraction form
    1,020.90/1,531.89 = 610.85/x
  3. Step 3: Cross multiply
    1,020.90x = 1,531.89 × 610.85
  4. Step 4: Simplify right side
    1,020.90x = 935,747.35
  5. Step 5: Solve for x
    x = 935,747.35/1,020.90
  6. Step 6: Final answer
    x = 916.59

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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.