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Finding the Fourth Proportional to 1,339.35, 2,007.40 and 817.71

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Solution

The fourth proportional to 1,339.35, 2,007.40 and 817.71 is: 1,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.35 : 2,007.40 = 817.71 : x
  2. Step 2: Convert to fraction form
    1,339.35/2,007.40 = 817.71/x
  3. Step 3: Cross multiply
    1,339.35x = 2,007.40 × 817.71
  4. Step 4: Simplify right side
    1,339.35x = 1,641,471.05
  5. Step 5: Solve for x
    x = 1,641,471.05/1,339.35
  6. Step 6: Final answer
    x = 1,225.57

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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.