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Finding the Fourth Proportional to 827.16, 1,236.96 and 619.06

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Solution

The fourth proportional to 827.16, 1,236.96 and 619.06 is: 925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.16 : 1,236.96 = 619.06 : x
  2. Step 2: Convert to fraction form
    827.16/1,236.96 = 619.06/x
  3. Step 3: Cross multiply
    827.16x = 1,236.96 × 619.06
  4. Step 4: Simplify right side
    827.16x = 765,752.46
  5. Step 5: Solve for x
    x = 765,752.46/827.16
  6. Step 6: Final answer
    x = 925.76

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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.