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Finding the Fourth Proportional to 795.20, 1,192.26 and 384.80

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Solution

The fourth proportional to 795.20, 1,192.26 and 384.80 is: 576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.20 : 1,192.26 = 384.80 : x
  2. Step 2: Convert to fraction form
    795.20/1,192.26 = 384.80/x
  3. Step 3: Cross multiply
    795.20x = 1,192.26 × 384.80
  4. Step 4: Simplify right side
    795.20x = 458,781.65
  5. Step 5: Solve for x
    x = 458,781.65/795.20
  6. Step 6: Final answer
    x = 576.94

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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.