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Finding the Fourth Proportional to 1,284.82, 1,922.54 and 765.07

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Solution

The fourth proportional to 1,284.82, 1,922.54 and 765.07 is: 1,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.82 : 1,922.54 = 765.07 : x
  2. Step 2: Convert to fraction form
    1,284.82/1,922.54 = 765.07/x
  3. Step 3: Cross multiply
    1,284.82x = 1,922.54 × 765.07
  4. Step 4: Simplify right side
    1,284.82x = 1,470,869.05
  5. Step 5: Solve for x
    x = 1,470,869.05/1,284.82
  6. Step 6: Final answer
    x = 1,144.81

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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.