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Finding the Fourth Proportional to 1,028.46, 1,542.33 and 297.84

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Solution

The fourth proportional to 1,028.46, 1,542.33 and 297.84 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.46 : 1,542.33 = 297.84 : x
  2. Step 2: Convert to fraction form
    1,028.46/1,542.33 = 297.84/x
  3. Step 3: Cross multiply
    1,028.46x = 1,542.33 × 297.84
  4. Step 4: Simplify right side
    1,028.46x = 459,367.57
  5. Step 5: Solve for x
    x = 459,367.57/1,028.46
  6. Step 6: Final answer
    x = 446.66

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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.