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Finding the Fourth Proportional to 803.16, 1,203.32 and 686.42

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Solution

The fourth proportional to 803.16, 1,203.32 and 686.42 is: 1,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.16 : 1,203.32 = 686.42 : x
  2. Step 2: Convert to fraction form
    803.16/1,203.32 = 686.42/x
  3. Step 3: Cross multiply
    803.16x = 1,203.32 × 686.42
  4. Step 4: Simplify right side
    803.16x = 825,982.91
  5. Step 5: Solve for x
    x = 825,982.91/803.16
  6. Step 6: Final answer
    x = 1,028.42

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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.