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Finding the Fourth Proportional to 801.56, 1,105.31 and 522.05

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Solution

The fourth proportional to 801.56, 1,105.31 and 522.05 is: 719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.56 : 1,105.31 = 522.05 : x
  2. Step 2: Convert to fraction form
    801.56/1,105.31 = 522.05/x
  3. Step 3: Cross multiply
    801.56x = 1,105.31 × 522.05
  4. Step 4: Simplify right side
    801.56x = 577,022.86
  5. Step 5: Solve for x
    x = 577,022.86/801.56
  6. Step 6: Final answer
    x = 719.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.