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Finding the Fourth Proportional to 908.57, 1,362.96 and 414.77

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Solution

The fourth proportional to 908.57, 1,362.96 and 414.77 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.57 : 1,362.96 = 414.77 : x
  2. Step 2: Convert to fraction form
    908.57/1,362.96 = 414.77/x
  3. Step 3: Cross multiply
    908.57x = 1,362.96 × 414.77
  4. Step 4: Simplify right side
    908.57x = 565,308.10
  5. Step 5: Solve for x
    x = 565,308.10/908.57
  6. Step 6: Final answer
    x = 622.20

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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.