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Finding the Fourth Proportional to 1,382.36, 1,908.05 and 815.72

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Solution

The fourth proportional to 1,382.36, 1,908.05 and 815.72 is: 1,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.36 : 1,908.05 = 815.72 : x
  2. Step 2: Convert to fraction form
    1,382.36/1,908.05 = 815.72/x
  3. Step 3: Cross multiply
    1,382.36x = 1,908.05 × 815.72
  4. Step 4: Simplify right side
    1,382.36x = 1,556,420.93
  5. Step 5: Solve for x
    x = 1,556,420.93/1,382.36
  6. Step 6: Final answer
    x = 1,125.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.