Home / 1,026.90-1,540.35-296.49

Finding the Fourth Proportional to 1,026.90, 1,540.35 and 296.49

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Solution

The fourth proportional to 1,026.90, 1,540.35 and 296.49 is: 444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.90 : 1,540.35 = 296.49 : x
  2. Step 2: Convert to fraction form
    1,026.90/1,540.35 = 296.49/x
  3. Step 3: Cross multiply
    1,026.90x = 1,540.35 × 296.49
  4. Step 4: Simplify right side
    1,026.90x = 456,698.37
  5. Step 5: Solve for x
    x = 456,698.37/1,026.90
  6. Step 6: Final answer
    x = 444.74

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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.