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Finding the Fourth Proportional to 1,295.82, 1,788.21 and 706.35

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Solution

The fourth proportional to 1,295.82, 1,788.21 and 706.35 is: 974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.82 : 1,788.21 = 706.35 : x
  2. Step 2: Convert to fraction form
    1,295.82/1,788.21 = 706.35/x
  3. Step 3: Cross multiply
    1,295.82x = 1,788.21 × 706.35
  4. Step 4: Simplify right side
    1,295.82x = 1,263,102.13
  5. Step 5: Solve for x
    x = 1,263,102.13/1,295.82
  6. Step 6: Final answer
    x = 974.75

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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.