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Finding the Fourth Proportional to 1,359.86, 2,039.90 and 386.06

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Solution

The fourth proportional to 1,359.86, 2,039.90 and 386.06 is: 579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.86 : 2,039.90 = 386.06 : x
  2. Step 2: Convert to fraction form
    1,359.86/2,039.90 = 386.06/x
  3. Step 3: Cross multiply
    1,359.86x = 2,039.90 × 386.06
  4. Step 4: Simplify right side
    1,359.86x = 787,511.66
  5. Step 5: Solve for x
    x = 787,511.66/1,359.86
  6. Step 6: Final answer
    x = 579.11

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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.