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Finding the Fourth Proportional to 1,576.59, 2,364.81 and 422.34

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Solution

The fourth proportional to 1,576.59, 2,364.81 and 422.34 is: 633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.59 : 2,364.81 = 422.34 : x
  2. Step 2: Convert to fraction form
    1,576.59/2,364.81 = 422.34/x
  3. Step 3: Cross multiply
    1,576.59x = 2,364.81 × 422.34
  4. Step 4: Simplify right side
    1,576.59x = 998,753.86
  5. Step 5: Solve for x
    x = 998,753.86/1,576.59
  6. Step 6: Final answer
    x = 633.49

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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.