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Finding the Fourth Proportional to 883.61, 1,217.63 and 634.13

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Solution

The fourth proportional to 883.61, 1,217.63 and 634.13 is: 873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.61 : 1,217.63 = 634.13 : x
  2. Step 2: Convert to fraction form
    883.61/1,217.63 = 634.13/x
  3. Step 3: Cross multiply
    883.61x = 1,217.63 × 634.13
  4. Step 4: Simplify right side
    883.61x = 772,135.71
  5. Step 5: Solve for x
    x = 772,135.71/883.61
  6. Step 6: Final answer
    x = 873.84

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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.