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Finding the Fourth Proportional to 650.89, 972.59 and 443.74

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Solution

The fourth proportional to 650.89, 972.59 and 443.74 is: 663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.89 : 972.59 = 443.74 : x
  2. Step 2: Convert to fraction form
    650.89/972.59 = 443.74/x
  3. Step 3: Cross multiply
    650.89x = 972.59 × 443.74
  4. Step 4: Simplify right side
    650.89x = 431,577.09
  5. Step 5: Solve for x
    x = 431,577.09/650.89
  6. Step 6: Final answer
    x = 663.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.