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Finding the Fourth Proportional to 809.21, 1,211.45 and 614.99

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Solution

The fourth proportional to 809.21, 1,211.45 and 614.99 is: 920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.21 : 1,211.45 = 614.99 : x
  2. Step 2: Convert to fraction form
    809.21/1,211.45 = 614.99/x
  3. Step 3: Cross multiply
    809.21x = 1,211.45 × 614.99
  4. Step 4: Simplify right side
    809.21x = 745,029.59
  5. Step 5: Solve for x
    x = 745,029.59/809.21
  6. Step 6: Final answer
    x = 920.68

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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.