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Finding the Fourth Proportional to 900.97, 1,351.46 and 778.87

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Solution

The fourth proportional to 900.97, 1,351.46 and 778.87 is: 1,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.97 : 1,351.46 = 778.87 : x
  2. Step 2: Convert to fraction form
    900.97/1,351.46 = 778.87/x
  3. Step 3: Cross multiply
    900.97x = 1,351.46 × 778.87
  4. Step 4: Simplify right side
    900.97x = 1,052,613.60
  5. Step 5: Solve for x
    x = 1,052,613.60/900.97
  6. Step 6: Final answer
    x = 1,168.31

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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.