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Finding the Fourth Proportional to 884.16, 1,217.57 and 687.33

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Solution

The fourth proportional to 884.16, 1,217.57 and 687.33 is: 946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.16 : 1,217.57 = 687.33 : x
  2. Step 2: Convert to fraction form
    884.16/1,217.57 = 687.33/x
  3. Step 3: Cross multiply
    884.16x = 1,217.57 × 687.33
  4. Step 4: Simplify right side
    884.16x = 836,868.95
  5. Step 5: Solve for x
    x = 836,868.95/884.16
  6. Step 6: Final answer
    x = 946.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.