Home / 1,032.42-1,550.07-826.34

Finding the Fourth Proportional to 1,032.42, 1,550.07 and 826.34

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Solution

The fourth proportional to 1,032.42, 1,550.07 and 826.34 is: 1,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.42 : 1,550.07 = 826.34 : x
  2. Step 2: Convert to fraction form
    1,032.42/1,550.07 = 826.34/x
  3. Step 3: Cross multiply
    1,032.42x = 1,550.07 × 826.34
  4. Step 4: Simplify right side
    1,032.42x = 1,280,877.09
  5. Step 5: Solve for x
    x = 1,280,877.09/1,032.42
  6. Step 6: Final answer
    x = 1,240.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.