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Finding the Fourth Proportional to 795.62, 1,193.80 and 378.98

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Solution

The fourth proportional to 795.62, 1,193.80 and 378.98 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.62 : 1,193.80 = 378.98 : x
  2. Step 2: Convert to fraction form
    795.62/1,193.80 = 378.98/x
  3. Step 3: Cross multiply
    795.62x = 1,193.80 × 378.98
  4. Step 4: Simplify right side
    795.62x = 452,426.32
  5. Step 5: Solve for x
    x = 452,426.32/795.62
  6. Step 6: Final answer
    x = 568.65

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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.