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Finding the Fourth Proportional to 1,098.80, 1,648.46 and 368.46

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Solution

The fourth proportional to 1,098.80, 1,648.46 and 368.46 is: 552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.80 : 1,648.46 = 368.46 : x
  2. Step 2: Convert to fraction form
    1,098.80/1,648.46 = 368.46/x
  3. Step 3: Cross multiply
    1,098.80x = 1,648.46 × 368.46
  4. Step 4: Simplify right side
    1,098.80x = 607,391.57
  5. Step 5: Solve for x
    x = 607,391.57/1,098.80
  6. Step 6: Final answer
    x = 552.78

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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.