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Finding the Fourth Proportional to 1,265.19, 1,745.94 and 705.65

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Solution

The fourth proportional to 1,265.19, 1,745.94 and 705.65 is: 973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.19 : 1,745.94 = 705.65 : x
  2. Step 2: Convert to fraction form
    1,265.19/1,745.94 = 705.65/x
  3. Step 3: Cross multiply
    1,265.19x = 1,745.94 × 705.65
  4. Step 4: Simplify right side
    1,265.19x = 1,232,022.56
  5. Step 5: Solve for x
    x = 1,232,022.56/1,265.19
  6. Step 6: Final answer
    x = 973.78

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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.