Home / 1,028.30-1,541.40-534.46

Finding the Fourth Proportional to 1,028.30, 1,541.40 and 534.46

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Solution

The fourth proportional to 1,028.30, 1,541.40 and 534.46 is: 801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.30 : 1,541.40 = 534.46 : x
  2. Step 2: Convert to fraction form
    1,028.30/1,541.40 = 534.46/x
  3. Step 3: Cross multiply
    1,028.30x = 1,541.40 × 534.46
  4. Step 4: Simplify right side
    1,028.30x = 823,816.64
  5. Step 5: Solve for x
    x = 823,816.64/1,028.30
  6. Step 6: Final answer
    x = 801.14

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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.