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Finding the Fourth Proportional to 651.06, 974.70 and 620.82

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Solution

The fourth proportional to 651.06, 974.70 and 620.82 is: 929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.06 : 974.70 = 620.82 : x
  2. Step 2: Convert to fraction form
    651.06/974.70 = 620.82/x
  3. Step 3: Cross multiply
    651.06x = 974.70 × 620.82
  4. Step 4: Simplify right side
    651.06x = 605,113.25
  5. Step 5: Solve for x
    x = 605,113.25/651.06
  6. Step 6: Final answer
    x = 929.43

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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.