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Finding the Fourth Proportional to 1,362.97, 2,044.96 and 777.61

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Solution

The fourth proportional to 1,362.97, 2,044.96 and 777.61 is: 1,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.97 : 2,044.96 = 777.61 : x
  2. Step 2: Convert to fraction form
    1,362.97/2,044.96 = 777.61/x
  3. Step 3: Cross multiply
    1,362.97x = 2,044.96 × 777.61
  4. Step 4: Simplify right side
    1,362.97x = 1,590,181.35
  5. Step 5: Solve for x
    x = 1,590,181.35/1,362.97
  6. Step 6: Final answer
    x = 1,166.70

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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.