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Finding the Fourth Proportional to 827.15, 1,239.39 and 437.13

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Solution

The fourth proportional to 827.15, 1,239.39 and 437.13 is: 654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.15 : 1,239.39 = 437.13 : x
  2. Step 2: Convert to fraction form
    827.15/1,239.39 = 437.13/x
  3. Step 3: Cross multiply
    827.15x = 1,239.39 × 437.13
  4. Step 4: Simplify right side
    827.15x = 541,774.55
  5. Step 5: Solve for x
    x = 541,774.55/827.15
  6. Step 6: Final answer
    x = 654.99

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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.