Home / 1,028.13-1,541.88-411.51

Finding the Fourth Proportional to 1,028.13, 1,541.88 and 411.51

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Solution

The fourth proportional to 1,028.13, 1,541.88 and 411.51 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.13 : 1,541.88 = 411.51 : x
  2. Step 2: Convert to fraction form
    1,028.13/1,541.88 = 411.51/x
  3. Step 3: Cross multiply
    1,028.13x = 1,541.88 × 411.51
  4. Step 4: Simplify right side
    1,028.13x = 634,499.04
  5. Step 5: Solve for x
    x = 634,499.04/1,028.13
  6. Step 6: Final answer
    x = 617.14

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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.