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Finding the Fourth Proportional to 795.30, 1,193.20 and 384.45

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Solution

The fourth proportional to 795.30, 1,193.20 and 384.45 is: 576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.30 : 1,193.20 = 384.45 : x
  2. Step 2: Convert to fraction form
    795.30/1,193.20 = 384.45/x
  3. Step 3: Cross multiply
    795.30x = 1,193.20 × 384.45
  4. Step 4: Simplify right side
    795.30x = 458,725.74
  5. Step 5: Solve for x
    x = 458,725.74/795.30
  6. Step 6: Final answer
    x = 576.80

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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.