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Finding the Fourth Proportional to 1,100.84, 1,649.01 and 735.80

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Solution

The fourth proportional to 1,100.84, 1,649.01 and 735.80 is: 1,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.84 : 1,649.01 = 735.80 : x
  2. Step 2: Convert to fraction form
    1,100.84/1,649.01 = 735.80/x
  3. Step 3: Cross multiply
    1,100.84x = 1,649.01 × 735.80
  4. Step 4: Simplify right side
    1,100.84x = 1,213,341.56
  5. Step 5: Solve for x
    x = 1,213,341.56/1,100.84
  6. Step 6: Final answer
    x = 1,102.20

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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.