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Finding the Fourth Proportional to 883.13, 1,217.46 and 634.37

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Solution

The fourth proportional to 883.13, 1,217.46 and 634.37 is: 874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.13 : 1,217.46 = 634.37 : x
  2. Step 2: Convert to fraction form
    883.13/1,217.46 = 634.37/x
  3. Step 3: Cross multiply
    883.13x = 1,217.46 × 634.37
  4. Step 4: Simplify right side
    883.13x = 772,320.10
  5. Step 5: Solve for x
    x = 772,320.10/883.13
  6. Step 6: Final answer
    x = 874.53

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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.