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Finding the Fourth Proportional to 1,265.83, 1,745.75 and 817.76

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Solution

The fourth proportional to 1,265.83, 1,745.75 and 817.76 is: 1,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.83 : 1,745.75 = 817.76 : x
  2. Step 2: Convert to fraction form
    1,265.83/1,745.75 = 817.76/x
  3. Step 3: Cross multiply
    1,265.83x = 1,745.75 × 817.76
  4. Step 4: Simplify right side
    1,265.83x = 1,427,610.93
  5. Step 5: Solve for x
    x = 1,427,610.93/1,265.83
  6. Step 6: Final answer
    x = 1,127.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.