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Finding the Fourth Proportional to 1,631.54, 2,447.66 and 765.38

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Solution

The fourth proportional to 1,631.54, 2,447.66 and 765.38 is: 1,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.54 : 2,447.66 = 765.38 : x
  2. Step 2: Convert to fraction form
    1,631.54/2,447.66 = 765.38/x
  3. Step 3: Cross multiply
    1,631.54x = 2,447.66 × 765.38
  4. Step 4: Simplify right side
    1,631.54x = 1,873,390.01
  5. Step 5: Solve for x
    x = 1,873,390.01/1,631.54
  6. Step 6: Final answer
    x = 1,148.23

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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.