Home / 1,027.50-1,541.08-296.92

Finding the Fourth Proportional to 1,027.50, 1,541.08 and 296.92

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Solution

The fourth proportional to 1,027.50, 1,541.08 and 296.92 is: 445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.50 : 1,541.08 = 296.92 : x
  2. Step 2: Convert to fraction form
    1,027.50/1,541.08 = 296.92/x
  3. Step 3: Cross multiply
    1,027.50x = 1,541.08 × 296.92
  4. Step 4: Simplify right side
    1,027.50x = 457,577.47
  5. Step 5: Solve for x
    x = 457,577.47/1,027.50
  6. Step 6: Final answer
    x = 445.33

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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.