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Finding the Fourth Proportional to 769.17, 1,153.64 and 282.11

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Solution

The fourth proportional to 769.17, 1,153.64 and 282.11 is: 423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.17 : 1,153.64 = 282.11 : x
  2. Step 2: Convert to fraction form
    769.17/1,153.64 = 282.11/x
  3. Step 3: Cross multiply
    769.17x = 1,153.64 × 282.11
  4. Step 4: Simplify right side
    769.17x = 325,448.32
  5. Step 5: Solve for x
    x = 325,448.32/769.17
  6. Step 6: Final answer
    x = 423.12

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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.