Home / 1,027.65-1,541.57-378.39

Finding the Fourth Proportional to 1,027.65, 1,541.57 and 378.39

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Solution

The fourth proportional to 1,027.65, 1,541.57 and 378.39 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.65 : 1,541.57 = 378.39 : x
  2. Step 2: Convert to fraction form
    1,027.65/1,541.57 = 378.39/x
  3. Step 3: Cross multiply
    1,027.65x = 1,541.57 × 378.39
  4. Step 4: Simplify right side
    1,027.65x = 583,312.78
  5. Step 5: Solve for x
    x = 583,312.78/1,027.65
  6. Step 6: Final answer
    x = 567.62

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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.