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Finding the Fourth Proportional to 908.57, 1,362.88 and 323.66

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Solution

The fourth proportional to 908.57, 1,362.88 and 323.66 is: 485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.57 : 1,362.88 = 323.66 : x
  2. Step 2: Convert to fraction form
    908.57/1,362.88 = 323.66/x
  3. Step 3: Cross multiply
    908.57x = 1,362.88 × 323.66
  4. Step 4: Simplify right side
    908.57x = 441,109.74
  5. Step 5: Solve for x
    x = 441,109.74/908.57
  6. Step 6: Final answer
    x = 485.50

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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.