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Finding the Fourth Proportional to 650.62, 969.34 and 619.66

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Solution

The fourth proportional to 650.62, 969.34 and 619.66 is: 923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.62 : 969.34 = 619.66 : x
  2. Step 2: Convert to fraction form
    650.62/969.34 = 619.66/x
  3. Step 3: Cross multiply
    650.62x = 969.34 × 619.66
  4. Step 4: Simplify right side
    650.62x = 600,661.22
  5. Step 5: Solve for x
    x = 600,661.22/650.62
  6. Step 6: Final answer
    x = 923.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.