Home / 1,020.95-1,531.60-674.57

Finding the Fourth Proportional to 1,020.95, 1,531.60 and 674.57

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Solution

The fourth proportional to 1,020.95, 1,531.60 and 674.57 is: 1,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.95 : 1,531.60 = 674.57 : x
  2. Step 2: Convert to fraction form
    1,020.95/1,531.60 = 674.57/x
  3. Step 3: Cross multiply
    1,020.95x = 1,531.60 × 674.57
  4. Step 4: Simplify right side
    1,020.95x = 1,033,169.27
  5. Step 5: Solve for x
    x = 1,033,169.27/1,020.95
  6. Step 6: Final answer
    x = 1,011.97

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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.