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Finding the Fourth Proportional to 499.77, 690.01 and 322.81

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Solution

The fourth proportional to 499.77, 690.01 and 322.81 is: 445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.77 : 690.01 = 322.81 : x
  2. Step 2: Convert to fraction form
    499.77/690.01 = 322.81/x
  3. Step 3: Cross multiply
    499.77x = 690.01 × 322.81
  4. Step 4: Simplify right side
    499.77x = 222,739.60
  5. Step 5: Solve for x
    x = 222,739.60/499.77
  6. Step 6: Final answer
    x = 445.68

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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.