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Finding the Fourth Proportional to 1,320.72, 1,981.08 and 908.61

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Solution

The fourth proportional to 1,320.72, 1,981.08 and 908.61 is: 1,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.72 : 1,981.08 = 908.61 : x
  2. Step 2: Convert to fraction form
    1,320.72/1,981.08 = 908.61/x
  3. Step 3: Cross multiply
    1,320.72x = 1,981.08 × 908.61
  4. Step 4: Simplify right side
    1,320.72x = 1,800,029.10
  5. Step 5: Solve for x
    x = 1,800,029.10/1,320.72
  6. Step 6: Final answer
    x = 1,362.92

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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.