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Finding the Fourth Proportional to 2,288.60, 3,432.86 and 557.22

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Solution

The fourth proportional to 2,288.60, 3,432.86 and 557.22 is: 835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.60 : 3,432.86 = 557.22 : x
  2. Step 2: Convert to fraction form
    2,288.60/3,432.86 = 557.22/x
  3. Step 3: Cross multiply
    2,288.60x = 3,432.86 × 557.22
  4. Step 4: Simplify right side
    2,288.60x = 1,912,858.25
  5. Step 5: Solve for x
    x = 1,912,858.25/2,288.60
  6. Step 6: Final answer
    x = 835.82

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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.