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Finding the Fourth Proportional to 1,505.73, 2,257.23 and 531.30

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Solution

The fourth proportional to 1,505.73, 2,257.23 and 531.30 is: 796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.73 : 2,257.23 = 531.30 : x
  2. Step 2: Convert to fraction form
    1,505.73/2,257.23 = 531.30/x
  3. Step 3: Cross multiply
    1,505.73x = 2,257.23 × 531.30
  4. Step 4: Simplify right side
    1,505.73x = 1,199,266.30
  5. Step 5: Solve for x
    x = 1,199,266.30/1,505.73
  6. Step 6: Final answer
    x = 796.47

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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.