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Finding the Fourth Proportional to 839.56, 1,259.24 and 531.15

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Solution

The fourth proportional to 839.56, 1,259.24 and 531.15 is: 796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.56 : 1,259.24 = 531.15 : x
  2. Step 2: Convert to fraction form
    839.56/1,259.24 = 531.15/x
  3. Step 3: Cross multiply
    839.56x = 1,259.24 × 531.15
  4. Step 4: Simplify right side
    839.56x = 668,842.67
  5. Step 5: Solve for x
    x = 668,842.67/839.56
  6. Step 6: Final answer
    x = 796.66

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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.