Home / 1,028.15-1,542.23-297.72

Finding the Fourth Proportional to 1,028.15, 1,542.23 and 297.72

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Solution

The fourth proportional to 1,028.15, 1,542.23 and 297.72 is: 446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.15 : 1,542.23 = 297.72 : x
  2. Step 2: Convert to fraction form
    1,028.15/1,542.23 = 297.72/x
  3. Step 3: Cross multiply
    1,028.15x = 1,542.23 × 297.72
  4. Step 4: Simplify right side
    1,028.15x = 459,151.23
  5. Step 5: Solve for x
    x = 459,151.23/1,028.15
  6. Step 6: Final answer
    x = 446.58

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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.