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Finding the Fourth Proportional to 872.71, 1,309.32 and 256.46

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Solution

The fourth proportional to 872.71, 1,309.32 and 256.46 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.71 : 1,309.32 = 256.46 : x
  2. Step 2: Convert to fraction form
    872.71/1,309.32 = 256.46/x
  3. Step 3: Cross multiply
    872.71x = 1,309.32 × 256.46
  4. Step 4: Simplify right side
    872.71x = 335,781.66
  5. Step 5: Solve for x
    x = 335,781.66/872.71
  6. Step 6: Final answer
    x = 384.76

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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.