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Finding the Fourth Proportional to 650.41, 980.00 and 537.38

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Solution

The fourth proportional to 650.41, 980.00 and 537.38 is: 809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.41 : 980.00 = 537.38 : x
  2. Step 2: Convert to fraction form
    650.41/980.00 = 537.38/x
  3. Step 3: Cross multiply
    650.41x = 980.00 × 537.38
  4. Step 4: Simplify right side
    650.41x = 526,630.50
  5. Step 5: Solve for x
    x = 526,630.50/650.41
  6. Step 6: Final answer
    x = 809.69

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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.