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Finding the Fourth Proportional to 908.10, 1,358.55 and 821.70

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Solution

The fourth proportional to 908.10, 1,358.55 and 821.70 is: 1,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.10 : 1,358.55 = 821.70 : x
  2. Step 2: Convert to fraction form
    908.10/1,358.55 = 821.70/x
  3. Step 3: Cross multiply
    908.10x = 1,358.55 × 821.70
  4. Step 4: Simplify right side
    908.10x = 1,116,320.54
  5. Step 5: Solve for x
    x = 1,116,320.54/908.10
  6. Step 6: Final answer
    x = 1,229.29

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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.