Home / 1,028.40-1,542.50-288.08

Finding the Fourth Proportional to 1,028.40, 1,542.50 and 288.08

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Solution

The fourth proportional to 1,028.40, 1,542.50 and 288.08 is: 432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.40 : 1,542.50 = 288.08 : x
  2. Step 2: Convert to fraction form
    1,028.40/1,542.50 = 288.08/x
  3. Step 3: Cross multiply
    1,028.40x = 1,542.50 × 288.08
  4. Step 4: Simplify right side
    1,028.40x = 444,360.62
  5. Step 5: Solve for x
    x = 444,360.62/1,028.40
  6. Step 6: Final answer
    x = 432.09

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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.