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Finding the Fourth Proportional to 769.16, 1,152.72 and 335.78

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Solution

The fourth proportional to 769.16, 1,152.72 and 335.78 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.16 : 1,152.72 = 335.78 : x
  2. Step 2: Convert to fraction form
    769.16/1,152.72 = 335.78/x
  3. Step 3: Cross multiply
    769.16x = 1,152.72 × 335.78
  4. Step 4: Simplify right side
    769.16x = 387,060.32
  5. Step 5: Solve for x
    x = 387,060.32/769.16
  6. Step 6: Final answer
    x = 503.22

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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.