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Finding the Fourth Proportional to 1,042.58, 1,438.73 and 600.49

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Solution

The fourth proportional to 1,042.58, 1,438.73 and 600.49 is: 828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.58 : 1,438.73 = 600.49 : x
  2. Step 2: Convert to fraction form
    1,042.58/1,438.73 = 600.49/x
  3. Step 3: Cross multiply
    1,042.58x = 1,438.73 × 600.49
  4. Step 4: Simplify right side
    1,042.58x = 863,935.78
  5. Step 5: Solve for x
    x = 863,935.78/1,042.58
  6. Step 6: Final answer
    x = 828.66

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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.