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Finding the Fourth Proportional to 810.87, 1,217.29 and 537.21

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Solution

The fourth proportional to 810.87, 1,217.29 and 537.21 is: 806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.87 : 1,217.29 = 537.21 : x
  2. Step 2: Convert to fraction form
    810.87/1,217.29 = 537.21/x
  3. Step 3: Cross multiply
    810.87x = 1,217.29 × 537.21
  4. Step 4: Simplify right side
    810.87x = 653,940.36
  5. Step 5: Solve for x
    x = 653,940.36/810.87
  6. Step 6: Final answer
    x = 806.47

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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.