Home / 1,026.21-1,540.10-401.61

Finding the Fourth Proportional to 1,026.21, 1,540.10 and 401.61

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Solution

The fourth proportional to 1,026.21, 1,540.10 and 401.61 is: 602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.21 : 1,540.10 = 401.61 : x
  2. Step 2: Convert to fraction form
    1,026.21/1,540.10 = 401.61/x
  3. Step 3: Cross multiply
    1,026.21x = 1,540.10 × 401.61
  4. Step 4: Simplify right side
    1,026.21x = 618,517.55
  5. Step 5: Solve for x
    x = 618,517.55/1,026.21
  6. Step 6: Final answer
    x = 602.72

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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.