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Finding the Fourth Proportional to 499.87, 690.14 and 322.91

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Solution

The fourth proportional to 499.87, 690.14 and 322.91 is: 445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.87 : 690.14 = 322.91 : x
  2. Step 2: Convert to fraction form
    499.87/690.14 = 322.91/x
  3. Step 3: Cross multiply
    499.87x = 690.14 × 322.91
  4. Step 4: Simplify right side
    499.87x = 222,853.91
  5. Step 5: Solve for x
    x = 222,853.91/499.87
  6. Step 6: Final answer
    x = 445.82

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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.