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Finding the Fourth Proportional to 614.82, 921.81 and 322.49

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Solution

The fourth proportional to 614.82, 921.81 and 322.49 is: 483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.82 : 921.81 = 322.49 : x
  2. Step 2: Convert to fraction form
    614.82/921.81 = 322.49/x
  3. Step 3: Cross multiply
    614.82x = 921.81 × 322.49
  4. Step 4: Simplify right side
    614.82x = 297,269.90
  5. Step 5: Solve for x
    x = 297,269.90/614.82
  6. Step 6: Final answer
    x = 483.51

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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.