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Finding the Fourth Proportional to 1,207.62, 1,665.90 and 765.90

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Solution

The fourth proportional to 1,207.62, 1,665.90 and 765.90 is: 1,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.62 : 1,665.90 = 765.90 : x
  2. Step 2: Convert to fraction form
    1,207.62/1,665.90 = 765.90/x
  3. Step 3: Cross multiply
    1,207.62x = 1,665.90 × 765.90
  4. Step 4: Simplify right side
    1,207.62x = 1,275,912.81
  5. Step 5: Solve for x
    x = 1,275,912.81/1,207.62
  6. Step 6: Final answer
    x = 1,056.55

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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.