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Finding the Fourth Proportional to 1,098.87, 1,641.26 and 902.75

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Solution

The fourth proportional to 1,098.87, 1,641.26 and 902.75 is: 1,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.87 : 1,641.26 = 902.75 : x
  2. Step 2: Convert to fraction form
    1,098.87/1,641.26 = 902.75/x
  3. Step 3: Cross multiply
    1,098.87x = 1,641.26 × 902.75
  4. Step 4: Simplify right side
    1,098.87x = 1,481,641.52
  5. Step 5: Solve for x
    x = 1,481,641.52/1,098.87
  6. Step 6: Final answer
    x = 1,348.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.