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Finding the Fourth Proportional to 800.71, 1,105.55 and 521.13

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Solution

The fourth proportional to 800.71, 1,105.55 and 521.13 is: 719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.71 : 1,105.55 = 521.13 : x
  2. Step 2: Convert to fraction form
    800.71/1,105.55 = 521.13/x
  3. Step 3: Cross multiply
    800.71x = 1,105.55 × 521.13
  4. Step 4: Simplify right side
    800.71x = 576,135.27
  5. Step 5: Solve for x
    x = 576,135.27/800.71
  6. Step 6: Final answer
    x = 719.53

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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.