Home / 1,042.41-1,439.23-976.23

Finding the Fourth Proportional to 1,042.41, 1,439.23 and 976.23

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Solution

The fourth proportional to 1,042.41, 1,439.23 and 976.23 is: 1,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.41 : 1,439.23 = 976.23 : x
  2. Step 2: Convert to fraction form
    1,042.41/1,439.23 = 976.23/x
  3. Step 3: Cross multiply
    1,042.41x = 1,439.23 × 976.23
  4. Step 4: Simplify right side
    1,042.41x = 1,405,019.50
  5. Step 5: Solve for x
    x = 1,405,019.50/1,042.41
  6. Step 6: Final answer
    x = 1,347.86

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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.