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Finding the Fourth Proportional to 1,359.92, 2,039.85 and 435.44

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Solution

The fourth proportional to 1,359.92, 2,039.85 and 435.44 is: 653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.92 : 2,039.85 = 435.44 : x
  2. Step 2: Convert to fraction form
    1,359.92/2,039.85 = 435.44/x
  3. Step 3: Cross multiply
    1,359.92x = 2,039.85 × 435.44
  4. Step 4: Simplify right side
    1,359.92x = 888,237.38
  5. Step 5: Solve for x
    x = 888,237.38/1,359.92
  6. Step 6: Final answer
    x = 653.15

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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.