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Finding the Fourth Proportional to 769.32, 1,154.16 and 282.38

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Solution

The fourth proportional to 769.32, 1,154.16 and 282.38 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.32 : 1,154.16 = 282.38 : x
  2. Step 2: Convert to fraction form
    769.32/1,154.16 = 282.38/x
  3. Step 3: Cross multiply
    769.32x = 1,154.16 × 282.38
  4. Step 4: Simplify right side
    769.32x = 325,911.70
  5. Step 5: Solve for x
    x = 325,911.70/769.32
  6. Step 6: Final answer
    x = 423.64

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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.