Home / 1,028.24-1,542.76-589.48

Finding the Fourth Proportional to 1,028.24, 1,542.76 and 589.48

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Solution

The fourth proportional to 1,028.24, 1,542.76 and 589.48 is: 884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.24 : 1,542.76 = 589.48 : x
  2. Step 2: Convert to fraction form
    1,028.24/1,542.76 = 589.48/x
  3. Step 3: Cross multiply
    1,028.24x = 1,542.76 × 589.48
  4. Step 4: Simplify right side
    1,028.24x = 909,426.16
  5. Step 5: Solve for x
    x = 909,426.16/1,028.24
  6. Step 6: Final answer
    x = 884.45

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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.