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Finding the Fourth Proportional to 809.02, 1,212.81 and 369.82

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Solution

The fourth proportional to 809.02, 1,212.81 and 369.82 is: 554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.02 : 1,212.81 = 369.82 : x
  2. Step 2: Convert to fraction form
    809.02/1,212.81 = 369.82/x
  3. Step 3: Cross multiply
    809.02x = 1,212.81 × 369.82
  4. Step 4: Simplify right side
    809.02x = 448,521.39
  5. Step 5: Solve for x
    x = 448,521.39/809.02
  6. Step 6: Final answer
    x = 554.40

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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.