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Finding the Fourth Proportional to 981.36, 1,471.33 and 889.09

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Solution

The fourth proportional to 981.36, 1,471.33 and 889.09 is: 1,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.36 : 1,471.33 = 889.09 : x
  2. Step 2: Convert to fraction form
    981.36/1,471.33 = 889.09/x
  3. Step 3: Cross multiply
    981.36x = 1,471.33 × 889.09
  4. Step 4: Simplify right side
    981.36x = 1,308,144.79
  5. Step 5: Solve for x
    x = 1,308,144.79/981.36
  6. Step 6: Final answer
    x = 1,332.99

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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.