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Finding the Fourth Proportional to 815.45, 1,224.38 and 787.10

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Solution

The fourth proportional to 815.45, 1,224.38 and 787.10 is: 1,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.45 : 1,224.38 = 787.10 : x
  2. Step 2: Convert to fraction form
    815.45/1,224.38 = 787.10/x
  3. Step 3: Cross multiply
    815.45x = 1,224.38 × 787.10
  4. Step 4: Simplify right side
    815.45x = 963,709.50
  5. Step 5: Solve for x
    x = 963,709.50/815.45
  6. Step 6: Final answer
    x = 1,181.81

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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.