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Finding the Fourth Proportional to 794.46, 1,192.46 and 383.89

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Solution

The fourth proportional to 794.46, 1,192.46 and 383.89 is: 576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.46 : 1,192.46 = 383.89 : x
  2. Step 2: Convert to fraction form
    794.46/1,192.46 = 383.89/x
  3. Step 3: Cross multiply
    794.46x = 1,192.46 × 383.89
  4. Step 4: Simplify right side
    794.46x = 457,773.47
  5. Step 5: Solve for x
    x = 457,773.47/794.46
  6. Step 6: Final answer
    x = 576.21

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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.