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Finding the Fourth Proportional to 2,444.11, 3,665.17 and 777.66

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Solution

The fourth proportional to 2,444.11, 3,665.17 and 777.66 is: 1,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.11 : 3,665.17 = 777.66 : x
  2. Step 2: Convert to fraction form
    2,444.11/3,665.17 = 777.66/x
  3. Step 3: Cross multiply
    2,444.11x = 3,665.17 × 777.66
  4. Step 4: Simplify right side
    2,444.11x = 2,850,256.10
  5. Step 5: Solve for x
    x = 2,850,256.10/2,444.11
  6. Step 6: Final answer
    x = 1,166.17

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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.