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Finding the Fourth Proportional to 768.90, 1,152.96 and 378.93

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Solution

The fourth proportional to 768.90, 1,152.96 and 378.93 is: 568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.90 : 1,152.96 = 378.93 : x
  2. Step 2: Convert to fraction form
    768.90/1,152.96 = 378.93/x
  3. Step 3: Cross multiply
    768.90x = 1,152.96 × 378.93
  4. Step 4: Simplify right side
    768.90x = 436,891.13
  5. Step 5: Solve for x
    x = 436,891.13/768.90
  6. Step 6: Final answer
    x = 568.20

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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.