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Finding the Fourth Proportional to 1,265.50, 1,896.54 and 778.84

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Solution

The fourth proportional to 1,265.50, 1,896.54 and 778.84 is: 1,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.50 : 1,896.54 = 778.84 : x
  2. Step 2: Convert to fraction form
    1,265.50/1,896.54 = 778.84/x
  3. Step 3: Cross multiply
    1,265.50x = 1,896.54 × 778.84
  4. Step 4: Simplify right side
    1,265.50x = 1,477,101.21
  5. Step 5: Solve for x
    x = 1,477,101.21/1,265.50
  6. Step 6: Final answer
    x = 1,167.21

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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.