Home / 1,026.46-1,538.20-699.22

Finding the Fourth Proportional to 1,026.46, 1,538.20 and 699.22

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Solution

The fourth proportional to 1,026.46, 1,538.20 and 699.22 is: 1,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.46 : 1,538.20 = 699.22 : x
  2. Step 2: Convert to fraction form
    1,026.46/1,538.20 = 699.22/x
  3. Step 3: Cross multiply
    1,026.46x = 1,538.20 × 699.22
  4. Step 4: Simplify right side
    1,026.46x = 1,075,540.20
  5. Step 5: Solve for x
    x = 1,075,540.20/1,026.46
  6. Step 6: Final answer
    x = 1,047.82

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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.