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Finding the Fourth Proportional to 1,217.44, 1,680.07 and 775.25

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Solution

The fourth proportional to 1,217.44, 1,680.07 and 775.25 is: 1,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.44 : 1,680.07 = 775.25 : x
  2. Step 2: Convert to fraction form
    1,217.44/1,680.07 = 775.25/x
  3. Step 3: Cross multiply
    1,217.44x = 1,680.07 × 775.25
  4. Step 4: Simplify right side
    1,217.44x = 1,302,463.93
  5. Step 5: Solve for x
    x = 1,302,463.93/1,217.44
  6. Step 6: Final answer
    x = 1,069.84

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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.