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Finding the Fourth Proportional to 974.82, 1,344.50 and 620.80

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Solution

The fourth proportional to 974.82, 1,344.50 and 620.80 is: 856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.82 : 1,344.50 = 620.80 : x
  2. Step 2: Convert to fraction form
    974.82/1,344.50 = 620.80/x
  3. Step 3: Cross multiply
    974.82x = 1,344.50 × 620.80
  4. Step 4: Simplify right side
    974.82x = 834,658.88
  5. Step 5: Solve for x
    x = 834,658.88/974.82
  6. Step 6: Final answer
    x = 856.22

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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.