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Finding the Fourth Proportional to 1,295.16, 1,942.82 and 370.79

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Solution

The fourth proportional to 1,295.16, 1,942.82 and 370.79 is: 556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.16 : 1,942.82 = 370.79 : x
  2. Step 2: Convert to fraction form
    1,295.16/1,942.82 = 370.79/x
  3. Step 3: Cross multiply
    1,295.16x = 1,942.82 × 370.79
  4. Step 4: Simplify right side
    1,295.16x = 720,375.34
  5. Step 5: Solve for x
    x = 720,375.34/1,295.16
  6. Step 6: Final answer
    x = 556.21

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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.