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Finding the Fourth Proportional to 900.82, 1,240.41 and 769.54

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Solution

The fourth proportional to 900.82, 1,240.41 and 769.54 is: 1,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.82 : 1,240.41 = 769.54 : x
  2. Step 2: Convert to fraction form
    900.82/1,240.41 = 769.54/x
  3. Step 3: Cross multiply
    900.82x = 1,240.41 × 769.54
  4. Step 4: Simplify right side
    900.82x = 954,545.11
  5. Step 5: Solve for x
    x = 954,545.11/900.82
  6. Step 6: Final answer
    x = 1,059.64

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1.5x scale

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.