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Finding the Fourth Proportional to 803.54, 1,108.13 and 685.56

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Solution

The fourth proportional to 803.54, 1,108.13 and 685.56 is: 945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.54 : 1,108.13 = 685.56 : x
  2. Step 2: Convert to fraction form
    803.54/1,108.13 = 685.56/x
  3. Step 3: Cross multiply
    803.54x = 1,108.13 × 685.56
  4. Step 4: Simplify right side
    803.54x = 759,689.60
  5. Step 5: Solve for x
    x = 759,689.60/803.54
  6. Step 6: Final answer
    x = 945.43

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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.