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Finding the Fourth Proportional to 1,042.31, 1,438.46 and 600.21

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Solution

The fourth proportional to 1,042.31, 1,438.46 and 600.21 is: 828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.31 : 1,438.46 = 600.21 : x
  2. Step 2: Convert to fraction form
    1,042.31/1,438.46 = 600.21/x
  3. Step 3: Cross multiply
    1,042.31x = 1,438.46 × 600.21
  4. Step 4: Simplify right side
    1,042.31x = 863,378.08
  5. Step 5: Solve for x
    x = 863,378.08/1,042.31
  6. Step 6: Final answer
    x = 828.33

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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.