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Finding the Fourth Proportional to 1,098.78, 1,648.26 and 550.95

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Solution

The fourth proportional to 1,098.78, 1,648.26 and 550.95 is: 826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.78 : 1,648.26 = 550.95 : x
  2. Step 2: Convert to fraction form
    1,098.78/1,648.26 = 550.95/x
  3. Step 3: Cross multiply
    1,098.78x = 1,648.26 × 550.95
  4. Step 4: Simplify right side
    1,098.78x = 908,108.85
  5. Step 5: Solve for x
    x = 908,108.85/1,098.78
  6. Step 6: Final answer
    x = 826.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.