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Finding the Fourth Proportional to 908.48, 1,363.08 and 360.83

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Solution

The fourth proportional to 908.48, 1,363.08 and 360.83 is: 541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.48 : 1,363.08 = 360.83 : x
  2. Step 2: Convert to fraction form
    908.48/1,363.08 = 360.83/x
  3. Step 3: Cross multiply
    908.48x = 1,363.08 × 360.83
  4. Step 4: Simplify right side
    908.48x = 491,833.34
  5. Step 5: Solve for x
    x = 491,833.34/908.48
  6. Step 6: Final answer
    x = 541.38

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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.