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Finding the Fourth Proportional to 803.18, 1,205.00 and 392.55

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Solution

The fourth proportional to 803.18, 1,205.00 and 392.55 is: 588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.18 : 1,205.00 = 392.55 : x
  2. Step 2: Convert to fraction form
    803.18/1,205.00 = 392.55/x
  3. Step 3: Cross multiply
    803.18x = 1,205.00 × 392.55
  4. Step 4: Simplify right side
    803.18x = 473,020.79
  5. Step 5: Solve for x
    x = 473,020.79/803.18
  6. Step 6: Final answer
    x = 588.94

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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.