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Finding the Fourth Proportional to 2,248.69, 3,372.95 and 688.63

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Solution

The fourth proportional to 2,248.69, 3,372.95 and 688.63 is: 1,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.69 : 3,372.95 = 688.63 : x
  2. Step 2: Convert to fraction form
    2,248.69/3,372.95 = 688.63/x
  3. Step 3: Cross multiply
    2,248.69x = 3,372.95 × 688.63
  4. Step 4: Simplify right side
    2,248.69x = 2,322,714.56
  5. Step 5: Solve for x
    x = 2,322,714.56/2,248.69
  6. Step 6: Final answer
    x = 1,032.92

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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.