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Finding the Fourth Proportional to 1,027.65, 1,541.33 and 378.24

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Solution

The fourth proportional to 1,027.65, 1,541.33 and 378.24 is: 567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.65 : 1,541.33 = 378.24 : x
  2. Step 2: Convert to fraction form
    1,027.65/1,541.33 = 378.24/x
  3. Step 3: Cross multiply
    1,027.65x = 1,541.33 × 378.24
  4. Step 4: Simplify right side
    1,027.65x = 582,990.77
  5. Step 5: Solve for x
    x = 582,990.77/1,027.65
  6. Step 6: Final answer
    x = 567.30

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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.