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Finding the Fourth Proportional to 803.86, 1,108.56 and 489.18

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Solution

The fourth proportional to 803.86, 1,108.56 and 489.18 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.86 : 1,108.56 = 489.18 : x
  2. Step 2: Convert to fraction form
    803.86/1,108.56 = 489.18/x
  3. Step 3: Cross multiply
    803.86x = 1,108.56 × 489.18
  4. Step 4: Simplify right side
    803.86x = 542,285.38
  5. Step 5: Solve for x
    x = 542,285.38/803.86
  6. Step 6: Final answer
    x = 674.60

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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.