Home / 1,027.30-1,541.13-378.07

Finding the Fourth Proportional to 1,027.30, 1,541.13 and 378.07

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Solution

The fourth proportional to 1,027.30, 1,541.13 and 378.07 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.30 : 1,541.13 = 378.07 : x
  2. Step 2: Convert to fraction form
    1,027.30/1,541.13 = 378.07/x
  3. Step 3: Cross multiply
    1,027.30x = 1,541.13 × 378.07
  4. Step 4: Simplify right side
    1,027.30x = 582,655.02
  5. Step 5: Solve for x
    x = 582,655.02/1,027.30
  6. Step 6: Final answer
    x = 567.17

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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.