Home / 1,028.28-1,541.93-297.66

Finding the Fourth Proportional to 1,028.28, 1,541.93 and 297.66

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Solution

The fourth proportional to 1,028.28, 1,541.93 and 297.66 is: 446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.28 : 1,541.93 = 297.66 : x
  2. Step 2: Convert to fraction form
    1,028.28/1,541.93 = 297.66/x
  3. Step 3: Cross multiply
    1,028.28x = 1,541.93 × 297.66
  4. Step 4: Simplify right side
    1,028.28x = 458,969.40
  5. Step 5: Solve for x
    x = 458,969.40/1,028.28
  6. Step 6: Final answer
    x = 446.35

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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.