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Finding the Fourth Proportional to 2,665.70, 3,998.55 and 816.77

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Solution

The fourth proportional to 2,665.70, 3,998.55 and 816.77 is: 1,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.70 : 3,998.55 = 816.77 : x
  2. Step 2: Convert to fraction form
    2,665.70/3,998.55 = 816.77/x
  3. Step 3: Cross multiply
    2,665.70x = 3,998.55 × 816.77
  4. Step 4: Simplify right side
    2,665.70x = 3,265,895.68
  5. Step 5: Solve for x
    x = 3,265,895.68/2,665.70
  6. Step 6: Final answer
    x = 1,225.16

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Similar ratio
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1.5x scale

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.