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Finding the Fourth Proportional to 1,039.66, 1,558.67 and 519.39

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Solution

The fourth proportional to 1,039.66, 1,558.67 and 519.39 is: 778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.66 : 1,558.67 = 519.39 : x
  2. Step 2: Convert to fraction form
    1,039.66/1,558.67 = 519.39/x
  3. Step 3: Cross multiply
    1,039.66x = 1,558.67 × 519.39
  4. Step 4: Simplify right side
    1,039.66x = 809,557.61
  5. Step 5: Solve for x
    x = 809,557.61/1,039.66
  6. Step 6: Final answer
    x = 778.68

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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.