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Finding the Fourth Proportional to 803.89, 1,203.98 and 685.47

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Solution

The fourth proportional to 803.89, 1,203.98 and 685.47 is: 1,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.89 : 1,203.98 = 685.47 : x
  2. Step 2: Convert to fraction form
    803.89/1,203.98 = 685.47/x
  3. Step 3: Cross multiply
    803.89x = 1,203.98 × 685.47
  4. Step 4: Simplify right side
    803.89x = 825,293.26
  5. Step 5: Solve for x
    x = 825,293.26/803.89
  6. Step 6: Final answer
    x = 1,026.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.