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Finding the Fourth Proportional to 650.63, 974.84 and 442.06

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Solution

The fourth proportional to 650.63, 974.84 and 442.06 is: 662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.63 : 974.84 = 442.06 : x
  2. Step 2: Convert to fraction form
    650.63/974.84 = 442.06/x
  3. Step 3: Cross multiply
    650.63x = 974.84 × 442.06
  4. Step 4: Simplify right side
    650.63x = 430,933.12
  5. Step 5: Solve for x
    x = 430,933.12/650.63
  6. Step 6: Final answer
    x = 662.33

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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.