Home / 1,026.49-1,540.01-296.12

Finding the Fourth Proportional to 1,026.49, 1,540.01 and 296.12

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Solution

The fourth proportional to 1,026.49, 1,540.01 and 296.12 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.49 : 1,540.01 = 296.12 : x
  2. Step 2: Convert to fraction form
    1,026.49/1,540.01 = 296.12/x
  3. Step 3: Cross multiply
    1,026.49x = 1,540.01 × 296.12
  4. Step 4: Simplify right side
    1,026.49x = 456,030.13
  5. Step 5: Solve for x
    x = 456,030.13/1,026.49
  6. Step 6: Final answer
    x = 444.26

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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.