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Finding the Fourth Proportional to 908.05, 1,360.14 and 809.47

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Solution

The fourth proportional to 908.05, 1,360.14 and 809.47 is: 1,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.05 : 1,360.14 = 809.47 : x
  2. Step 2: Convert to fraction form
    908.05/1,360.14 = 809.47/x
  3. Step 3: Cross multiply
    908.05x = 1,360.14 × 809.47
  4. Step 4: Simplify right side
    908.05x = 1,100,992.53
  5. Step 5: Solve for x
    x = 1,100,992.53/908.05
  6. Step 6: Final answer
    x = 1,212.48

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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.