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Finding the Fourth Proportional to 1,637.31, 2,455.99 and 663.19

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Solution

The fourth proportional to 1,637.31, 2,455.99 and 663.19 is: 994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.31 : 2,455.99 = 663.19 : x
  2. Step 2: Convert to fraction form
    1,637.31/2,455.99 = 663.19/x
  3. Step 3: Cross multiply
    1,637.31x = 2,455.99 × 663.19
  4. Step 4: Simplify right side
    1,637.31x = 1,628,780.21
  5. Step 5: Solve for x
    x = 1,628,780.21/1,637.31
  6. Step 6: Final answer
    x = 994.79

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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.