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Finding the Fourth Proportional to 769.19, 1,153.58 and 357.92

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Solution

The fourth proportional to 769.19, 1,153.58 and 357.92 is: 536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.19 : 1,153.58 = 357.92 : x
  2. Step 2: Convert to fraction form
    769.19/1,153.58 = 357.92/x
  3. Step 3: Cross multiply
    769.19x = 1,153.58 × 357.92
  4. Step 4: Simplify right side
    769.19x = 412,881.80
  5. Step 5: Solve for x
    x = 412,881.80/769.19
  6. Step 6: Final answer
    x = 536.78

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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.