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Finding the Fourth Proportional to 1,627.61, 2,441.96 and 517.21

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Solution

The fourth proportional to 1,627.61, 2,441.96 and 517.21 is: 775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.61 : 2,441.96 = 517.21 : x
  2. Step 2: Convert to fraction form
    1,627.61/2,441.96 = 517.21/x
  3. Step 3: Cross multiply
    1,627.61x = 2,441.96 × 517.21
  4. Step 4: Simplify right side
    1,627.61x = 1,263,006.13
  5. Step 5: Solve for x
    x = 1,263,006.13/1,627.61
  6. Step 6: Final answer
    x = 775.99

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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.