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Finding the Fourth Proportional to 892.19, 1,231.21 and 499.22

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Solution

The fourth proportional to 892.19, 1,231.21 and 499.22 is: 688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.19 : 1,231.21 = 499.22 : x
  2. Step 2: Convert to fraction form
    892.19/1,231.21 = 499.22/x
  3. Step 3: Cross multiply
    892.19x = 1,231.21 × 499.22
  4. Step 4: Simplify right side
    892.19x = 614,643.74
  5. Step 5: Solve for x
    x = 614,643.74/892.19
  6. Step 6: Final answer
    x = 688.91

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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.