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Finding the Fourth Proportional to 1,338.35, 2,005.91 and 816.71

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Solution

The fourth proportional to 1,338.35, 2,005.91 and 816.71 is: 1,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.35 : 2,005.91 = 816.71 : x
  2. Step 2: Convert to fraction form
    1,338.35/2,005.91 = 816.71/x
  3. Step 3: Cross multiply
    1,338.35x = 2,005.91 × 816.71
  4. Step 4: Simplify right side
    1,338.35x = 1,638,242.67
  5. Step 5: Solve for x
    x = 1,638,242.67/1,338.35
  6. Step 6: Final answer
    x = 1,224.08

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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.