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Finding the Fourth Proportional to 1,042.41, 1,438.54 and 594.23

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Solution

The fourth proportional to 1,042.41, 1,438.54 and 594.23 is: 820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.41 : 1,438.54 = 594.23 : x
  2. Step 2: Convert to fraction form
    1,042.41/1,438.54 = 594.23/x
  3. Step 3: Cross multiply
    1,042.41x = 1,438.54 × 594.23
  4. Step 4: Simplify right side
    1,042.41x = 854,825.73
  5. Step 5: Solve for x
    x = 854,825.73/1,042.41
  6. Step 6: Final answer
    x = 820.05

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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.