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Finding the Fourth Proportional to 1,576.42, 2,364.64 and 422.17

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Solution

The fourth proportional to 1,576.42, 2,364.64 and 422.17 is: 633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.42 : 2,364.64 = 422.17 : x
  2. Step 2: Convert to fraction form
    1,576.42/2,364.64 = 422.17/x
  3. Step 3: Cross multiply
    1,576.42x = 2,364.64 × 422.17
  4. Step 4: Simplify right side
    1,576.42x = 998,280.07
  5. Step 5: Solve for x
    x = 998,280.07/1,576.42
  6. Step 6: Final answer
    x = 633.26

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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.