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Finding the Fourth Proportional to 650.52, 980.57 and 612.88

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Solution

The fourth proportional to 650.52, 980.57 and 612.88 is: 923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 980.57 = 612.88 : x
  2. Step 2: Convert to fraction form
    650.52/980.57 = 612.88/x
  3. Step 3: Cross multiply
    650.52x = 980.57 × 612.88
  4. Step 4: Simplify right side
    650.52x = 600,971.74
  5. Step 5: Solve for x
    x = 600,971.74/650.52
  6. Step 6: Final answer
    x = 923.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.