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Finding the Fourth Proportional to 821.47, 1,232.17 and 334.53

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Solution

The fourth proportional to 821.47, 1,232.17 and 334.53 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.47 : 1,232.17 = 334.53 : x
  2. Step 2: Convert to fraction form
    821.47/1,232.17 = 334.53/x
  3. Step 3: Cross multiply
    821.47x = 1,232.17 × 334.53
  4. Step 4: Simplify right side
    821.47x = 412,197.83
  5. Step 5: Solve for x
    x = 412,197.83/821.47
  6. Step 6: Final answer
    x = 501.78

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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.