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Finding the Fourth Proportional to 499.27, 689.01 and 322.29

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Solution

The fourth proportional to 499.27, 689.01 and 322.29 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.27 : 689.01 = 322.29 : x
  2. Step 2: Convert to fraction form
    499.27/689.01 = 322.29/x
  3. Step 3: Cross multiply
    499.27x = 689.01 × 322.29
  4. Step 4: Simplify right side
    499.27x = 222,061.03
  5. Step 5: Solve for x
    x = 222,061.03/499.27
  6. Step 6: Final answer
    x = 444.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.