Home / 1,028.30-1,541.98-297.71

Finding the Fourth Proportional to 1,028.30, 1,541.98 and 297.71

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Solution

The fourth proportional to 1,028.30, 1,541.98 and 297.71 is: 446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.30 : 1,541.98 = 297.71 : x
  2. Step 2: Convert to fraction form
    1,028.30/1,541.98 = 297.71/x
  3. Step 3: Cross multiply
    1,028.30x = 1,541.98 × 297.71
  4. Step 4: Simplify right side
    1,028.30x = 459,053.67
  5. Step 5: Solve for x
    x = 459,053.67/1,028.30
  6. Step 6: Final answer
    x = 446.42

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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.