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Finding the Fourth Proportional to 872.55, 1,309.27 and 482.48

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Solution

The fourth proportional to 872.55, 1,309.27 and 482.48 is: 723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.55 : 1,309.27 = 482.48 : x
  2. Step 2: Convert to fraction form
    872.55/1,309.27 = 482.48/x
  3. Step 3: Cross multiply
    872.55x = 1,309.27 × 482.48
  4. Step 4: Simplify right side
    872.55x = 631,690.04
  5. Step 5: Solve for x
    x = 631,690.04/872.55
  6. Step 6: Final answer
    x = 723.96

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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.