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Finding the Fourth Proportional to 659.87, 989.27 and 453.82

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Solution

The fourth proportional to 659.87, 989.27 and 453.82 is: 680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.87 : 989.27 = 453.82 : x
  2. Step 2: Convert to fraction form
    659.87/989.27 = 453.82/x
  3. Step 3: Cross multiply
    659.87x = 989.27 × 453.82
  4. Step 4: Simplify right side
    659.87x = 448,948.24
  5. Step 5: Solve for x
    x = 448,948.24/659.87
  6. Step 6: Final answer
    x = 680.36

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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.