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Finding the Fourth Proportional to 1,505.61, 2,257.92 and 920.52

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Solution

The fourth proportional to 1,505.61, 2,257.92 and 920.52 is: 1,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.61 : 2,257.92 = 920.52 : x
  2. Step 2: Convert to fraction form
    1,505.61/2,257.92 = 920.52/x
  3. Step 3: Cross multiply
    1,505.61x = 2,257.92 × 920.52
  4. Step 4: Simplify right side
    1,505.61x = 2,078,460.52
  5. Step 5: Solve for x
    x = 2,078,460.52/1,505.61
  6. Step 6: Final answer
    x = 1,380.48

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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.