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Finding the Fourth Proportional to 900.93, 1,351.64 and 764.94

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Solution

The fourth proportional to 900.93, 1,351.64 and 764.94 is: 1,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.93 : 1,351.64 = 764.94 : x
  2. Step 2: Convert to fraction form
    900.93/1,351.64 = 764.94/x
  3. Step 3: Cross multiply
    900.93x = 1,351.64 × 764.94
  4. Step 4: Simplify right side
    900.93x = 1,033,923.50
  5. Step 5: Solve for x
    x = 1,033,923.50/900.93
  6. Step 6: Final answer
    x = 1,147.62

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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.