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Finding the Fourth Proportional to 1,298.58, 1,791.54 and 826.98

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Solution

The fourth proportional to 1,298.58, 1,791.54 and 826.98 is: 1,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.58 : 1,791.54 = 826.98 : x
  2. Step 2: Convert to fraction form
    1,298.58/1,791.54 = 826.98/x
  3. Step 3: Cross multiply
    1,298.58x = 1,791.54 × 826.98
  4. Step 4: Simplify right side
    1,298.58x = 1,481,567.75
  5. Step 5: Solve for x
    x = 1,481,567.75/1,298.58
  6. Step 6: Final answer
    x = 1,140.91

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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.