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Finding the Fourth Proportional to 815.84, 1,223.66 and 295.87

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Solution

The fourth proportional to 815.84, 1,223.66 and 295.87 is: 443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.84 : 1,223.66 = 295.87 : x
  2. Step 2: Convert to fraction form
    815.84/1,223.66 = 295.87/x
  3. Step 3: Cross multiply
    815.84x = 1,223.66 × 295.87
  4. Step 4: Simplify right side
    815.84x = 362,042.59
  5. Step 5: Solve for x
    x = 362,042.59/815.84
  6. Step 6: Final answer
    x = 443.77

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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.