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Finding the Fourth Proportional to 1,505.80, 2,257.92 and 531.76

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Solution

The fourth proportional to 1,505.80, 2,257.92 and 531.76 is: 797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.80 : 2,257.92 = 531.76 : x
  2. Step 2: Convert to fraction form
    1,505.80/2,257.92 = 531.76/x
  3. Step 3: Cross multiply
    1,505.80x = 2,257.92 × 531.76
  4. Step 4: Simplify right side
    1,505.80x = 1,200,671.54
  5. Step 5: Solve for x
    x = 1,200,671.54/1,505.80
  6. Step 6: Final answer
    x = 797.36

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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.