Home / 1,026.22-1,539.36-401.49

Finding the Fourth Proportional to 1,026.22, 1,539.36 and 401.49

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Solution

The fourth proportional to 1,026.22, 1,539.36 and 401.49 is: 602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.22 : 1,539.36 = 401.49 : x
  2. Step 2: Convert to fraction form
    1,026.22/1,539.36 = 401.49/x
  3. Step 3: Cross multiply
    1,026.22x = 1,539.36 × 401.49
  4. Step 4: Simplify right side
    1,026.22x = 618,037.65
  5. Step 5: Solve for x
    x = 618,037.65/1,026.22
  6. Step 6: Final answer
    x = 602.25

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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.