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Finding the Fourth Proportional to 815.38, 1,222.10 and 376.03

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Solution

The fourth proportional to 815.38, 1,222.10 and 376.03 is: 563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.38 : 1,222.10 = 376.03 : x
  2. Step 2: Convert to fraction form
    815.38/1,222.10 = 376.03/x
  3. Step 3: Cross multiply
    815.38x = 1,222.10 × 376.03
  4. Step 4: Simplify right side
    815.38x = 459,545.91
  5. Step 5: Solve for x
    x = 459,545.91/815.38
  6. Step 6: Final answer
    x = 563.60

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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.