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Finding the Fourth Proportional to 1,042.80, 1,438.41 and 711.37

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Solution

The fourth proportional to 1,042.80, 1,438.41 and 711.37 is: 981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.80 : 1,438.41 = 711.37 : x
  2. Step 2: Convert to fraction form
    1,042.80/1,438.41 = 711.37/x
  3. Step 3: Cross multiply
    1,042.80x = 1,438.41 × 711.37
  4. Step 4: Simplify right side
    1,042.80x = 1,023,241.72
  5. Step 5: Solve for x
    x = 1,023,241.72/1,042.80
  6. Step 6: Final answer
    x = 981.24

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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.