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Finding the Fourth Proportional to 827.12, 1,240.34 and 352.00

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Solution

The fourth proportional to 827.12, 1,240.34 and 352.00 is: 527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.12 : 1,240.34 = 352.00 : x
  2. Step 2: Convert to fraction form
    827.12/1,240.34 = 352.00/x
  3. Step 3: Cross multiply
    827.12x = 1,240.34 × 352.00
  4. Step 4: Simplify right side
    827.12x = 436,595.70
  5. Step 5: Solve for x
    x = 436,595.70/827.12
  6. Step 6: Final answer
    x = 527.85

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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.