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Finding the Fourth Proportional to 928.89, 1,398.84 and 808.61

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Solution

The fourth proportional to 928.89, 1,398.84 and 808.61 is: 1,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.89 : 1,398.84 = 808.61 : x
  2. Step 2: Convert to fraction form
    928.89/1,398.84 = 808.61/x
  3. Step 3: Cross multiply
    928.89x = 1,398.84 × 808.61
  4. Step 4: Simplify right side
    928.89x = 1,131,109.02
  5. Step 5: Solve for x
    x = 1,131,109.02/928.89
  6. Step 6: Final answer
    x = 1,217.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.