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Finding the Fourth Proportional to 908.39, 1,362.62 and 292.08

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Solution

The fourth proportional to 908.39, 1,362.62 and 292.08 is: 438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.39 : 1,362.62 = 292.08 : x
  2. Step 2: Convert to fraction form
    908.39/1,362.62 = 292.08/x
  3. Step 3: Cross multiply
    908.39x = 1,362.62 × 292.08
  4. Step 4: Simplify right side
    908.39x = 397,994.05
  5. Step 5: Solve for x
    x = 397,994.05/908.39
  6. Step 6: Final answer
    x = 438.13

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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.