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Finding the Fourth Proportional to 836.28, 1,153.70 and 482.13

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Solution

The fourth proportional to 836.28, 1,153.70 and 482.13 is: 665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.28 : 1,153.70 = 482.13 : x
  2. Step 2: Convert to fraction form
    836.28/1,153.70 = 482.13/x
  3. Step 3: Cross multiply
    836.28x = 1,153.70 × 482.13
  4. Step 4: Simplify right side
    836.28x = 556,230.97
  5. Step 5: Solve for x
    x = 556,230.97/836.28
  6. Step 6: Final answer
    x = 665.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.