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Finding the Fourth Proportional to 1,308.27, 1,805.32 and 1,203.78

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Solution

The fourth proportional to 1,308.27, 1,805.32 and 1,203.78 is: 1,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.27 : 1,805.32 = 1,203.78 : x
  2. Step 2: Convert to fraction form
    1,308.27/1,805.32 = 1,203.78/x
  3. Step 3: Cross multiply
    1,308.27x = 1,805.32 × 1,203.78
  4. Step 4: Simplify right side
    1,308.27x = 2,173,199.08
  5. Step 5: Solve for x
    x = 2,173,199.08/1,308.27
  6. Step 6: Final answer
    x = 1,661.13

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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.