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Finding the Fourth Proportional to 803.05, 1,204.67 and 392.20

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Solution

The fourth proportional to 803.05, 1,204.67 and 392.20 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.05 : 1,204.67 = 392.20 : x
  2. Step 2: Convert to fraction form
    803.05/1,204.67 = 392.20/x
  3. Step 3: Cross multiply
    803.05x = 1,204.67 × 392.20
  4. Step 4: Simplify right side
    803.05x = 472,469.54
  5. Step 5: Solve for x
    x = 472,469.54/803.05
  6. Step 6: Final answer
    x = 588.35

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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.