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Finding the Fourth Proportional to 2,472.77, 3,709.01 and 623.88

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Solution

The fourth proportional to 2,472.77, 3,709.01 and 623.88 is: 935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.77 : 3,709.01 = 623.88 : x
  2. Step 2: Convert to fraction form
    2,472.77/3,709.01 = 623.88/x
  3. Step 3: Cross multiply
    2,472.77x = 3,709.01 × 623.88
  4. Step 4: Simplify right side
    2,472.77x = 2,313,978.72
  5. Step 5: Solve for x
    x = 2,313,978.72/2,472.77
  6. Step 6: Final answer
    x = 935.78

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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.