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Finding the Fourth Proportional to 1,066.87, 1,600.44 and 518.59

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Solution

The fourth proportional to 1,066.87, 1,600.44 and 518.59 is: 777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.87 : 1,600.44 = 518.59 : x
  2. Step 2: Convert to fraction form
    1,066.87/1,600.44 = 518.59/x
  3. Step 3: Cross multiply
    1,066.87x = 1,600.44 × 518.59
  4. Step 4: Simplify right side
    1,066.87x = 829,972.18
  5. Step 5: Solve for x
    x = 829,972.18/1,066.87
  6. Step 6: Final answer
    x = 777.95

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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.