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Finding the Fourth Proportional to 884.29, 1,327.01 and 816.65

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Solution

The fourth proportional to 884.29, 1,327.01 and 816.65 is: 1,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.29 : 1,327.01 = 816.65 : x
  2. Step 2: Convert to fraction form
    884.29/1,327.01 = 816.65/x
  3. Step 3: Cross multiply
    884.29x = 1,327.01 × 816.65
  4. Step 4: Simplify right side
    884.29x = 1,083,701.95
  5. Step 5: Solve for x
    x = 1,083,701.95/884.29
  6. Step 6: Final answer
    x = 1,225.51

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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.