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Finding the Fourth Proportional to 1,359.69, 2,039.64 and 385.80

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Solution

The fourth proportional to 1,359.69, 2,039.64 and 385.80 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.69 : 2,039.64 = 385.80 : x
  2. Step 2: Convert to fraction form
    1,359.69/2,039.64 = 385.80/x
  3. Step 3: Cross multiply
    1,359.69x = 2,039.64 × 385.80
  4. Step 4: Simplify right side
    1,359.69x = 786,893.11
  5. Step 5: Solve for x
    x = 786,893.11/1,359.69
  6. Step 6: Final answer
    x = 578.73

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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.