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Finding the Fourth Proportional to 1,359.65, 2,039.44 and 435.27

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Solution

The fourth proportional to 1,359.65, 2,039.44 and 435.27 is: 652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.65 : 2,039.44 = 435.27 : x
  2. Step 2: Convert to fraction form
    1,359.65/2,039.44 = 435.27/x
  3. Step 3: Cross multiply
    1,359.65x = 2,039.44 × 435.27
  4. Step 4: Simplify right side
    1,359.65x = 887,704.87
  5. Step 5: Solve for x
    x = 887,704.87/1,359.65
  6. Step 6: Final answer
    x = 652.89

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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.