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Finding the Fourth Proportional to 821.59, 1,233.32 and 334.98

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Solution

The fourth proportional to 821.59, 1,233.32 and 334.98 is: 502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.59 : 1,233.32 = 334.98 : x
  2. Step 2: Convert to fraction form
    821.59/1,233.32 = 334.98/x
  3. Step 3: Cross multiply
    821.59x = 1,233.32 × 334.98
  4. Step 4: Simplify right side
    821.59x = 413,135.86
  5. Step 5: Solve for x
    x = 413,135.86/821.59
  6. Step 6: Final answer
    x = 502.85

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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.