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Finding the Fourth Proportional to 1,100.40, 1,652.88 and 1,063.49

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Solution

The fourth proportional to 1,100.40, 1,652.88 and 1,063.49 is: 1,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.40 : 1,652.88 = 1,063.49 : x
  2. Step 2: Convert to fraction form
    1,100.40/1,652.88 = 1,063.49/x
  3. Step 3: Cross multiply
    1,100.40x = 1,652.88 × 1,063.49
  4. Step 4: Simplify right side
    1,100.40x = 1,757,825.48
  5. Step 5: Solve for x
    x = 1,757,825.48/1,100.40
  6. Step 6: Final answer
    x = 1,597.44

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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.