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Finding the Fourth Proportional to 650.09, 974.83 and 526.39

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Solution

The fourth proportional to 650.09, 974.83 and 526.39 is: 789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.09 : 974.83 = 526.39 : x
  2. Step 2: Convert to fraction form
    650.09/974.83 = 526.39/x
  3. Step 3: Cross multiply
    650.09x = 974.83 × 526.39
  4. Step 4: Simplify right side
    650.09x = 513,138.33
  5. Step 5: Solve for x
    x = 513,138.33/650.09
  6. Step 6: Final answer
    x = 789.33

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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.