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Finding the Fourth Proportional to 1,028.16, 1,541.92 and 344

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Solution

The fourth proportional to 1,028.16, 1,541.92 and 344 is: 515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.16 : 1,541.92 = 344 : x
  2. Step 2: Convert to fraction form
    1,028.16/1,541.92 = 344/x
  3. Step 3: Cross multiply
    1,028.16x = 1,541.92 × 344
  4. Step 4: Simplify right side
    1,028.16x = 530,420.48
  5. Step 5: Solve for x
    x = 530,420.48/1,028.16
  6. Step 6: Final answer
    x = 515.89

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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.