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Finding the Fourth Proportional to 1,298.24, 1,791.56 and 708.77

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Solution

The fourth proportional to 1,298.24, 1,791.56 and 708.77 is: 978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.24 : 1,791.56 = 708.77 : x
  2. Step 2: Convert to fraction form
    1,298.24/1,791.56 = 708.77/x
  3. Step 3: Cross multiply
    1,298.24x = 1,791.56 × 708.77
  4. Step 4: Simplify right side
    1,298.24x = 1,269,791.48
  5. Step 5: Solve for x
    x = 1,269,791.48/1,298.24
  6. Step 6: Final answer
    x = 978.09

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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.