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Finding the Fourth Proportional to 804.26, 1,205.98 and 392.78

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Solution

The fourth proportional to 804.26, 1,205.98 and 392.78 is: 588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.26 : 1,205.98 = 392.78 : x
  2. Step 2: Convert to fraction form
    804.26/1,205.98 = 392.78/x
  3. Step 3: Cross multiply
    804.26x = 1,205.98 × 392.78
  4. Step 4: Simplify right side
    804.26x = 473,676.83
  5. Step 5: Solve for x
    x = 473,676.83/804.26
  6. Step 6: Final answer
    x = 588.96

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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.