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Finding the Fourth Proportional to 1,298.35, 1,791.70 and 708.85

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Solution

The fourth proportional to 1,298.35, 1,791.70 and 708.85 is: 978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.35 : 1,791.70 = 708.85 : x
  2. Step 2: Convert to fraction form
    1,298.35/1,791.70 = 708.85/x
  3. Step 3: Cross multiply
    1,298.35x = 1,791.70 × 708.85
  4. Step 4: Simplify right side
    1,298.35x = 1,270,046.55
  5. Step 5: Solve for x
    x = 1,270,046.55/1,298.35
  6. Step 6: Final answer
    x = 978.20

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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.