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Finding the Fourth Proportional to 1,732.23, 2,599.47 and 636.57

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Solution

The fourth proportional to 1,732.23, 2,599.47 and 636.57 is: 955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.23 : 2,599.47 = 636.57 : x
  2. Step 2: Convert to fraction form
    1,732.23/2,599.47 = 636.57/x
  3. Step 3: Cross multiply
    1,732.23x = 2,599.47 × 636.57
  4. Step 4: Simplify right side
    1,732.23x = 1,654,744.62
  5. Step 5: Solve for x
    x = 1,654,744.62/1,732.23
  6. Step 6: Final answer
    x = 955.27

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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.