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Finding the Fourth Proportional to 611.96, 922.34 and 576.68

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Solution

The fourth proportional to 611.96, 922.34 and 576.68 is: 869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.96 : 922.34 = 576.68 : x
  2. Step 2: Convert to fraction form
    611.96/922.34 = 576.68/x
  3. Step 3: Cross multiply
    611.96x = 922.34 × 576.68
  4. Step 4: Simplify right side
    611.96x = 531,895.03
  5. Step 5: Solve for x
    x = 531,895.03/611.96
  6. Step 6: Final answer
    x = 869.17

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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.