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Finding the Fourth Proportional to 888.09, 1,330.78 and 809.79

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Solution

The fourth proportional to 888.09, 1,330.78 and 809.79 is: 1,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.09 : 1,330.78 = 809.79 : x
  2. Step 2: Convert to fraction form
    888.09/1,330.78 = 809.79/x
  3. Step 3: Cross multiply
    888.09x = 1,330.78 × 809.79
  4. Step 4: Simplify right side
    888.09x = 1,077,652.34
  5. Step 5: Solve for x
    x = 1,077,652.34/888.09
  6. Step 6: Final answer
    x = 1,213.45

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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.