Home / 1,020.56-1,531.85-472.86

Finding the Fourth Proportional to 1,020.56, 1,531.85 and 472.86

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Solution

The fourth proportional to 1,020.56, 1,531.85 and 472.86 is: 709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.56 : 1,531.85 = 472.86 : x
  2. Step 2: Convert to fraction form
    1,020.56/1,531.85 = 472.86/x
  3. Step 3: Cross multiply
    1,020.56x = 1,531.85 × 472.86
  4. Step 4: Simplify right side
    1,020.56x = 724,348.23
  5. Step 5: Solve for x
    x = 724,348.23/1,020.56
  6. Step 6: Final answer
    x = 709.76

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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.