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Finding the Fourth Proportional to 1,100.05, 1,653.46 and 737.17

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Solution

The fourth proportional to 1,100.05, 1,653.46 and 737.17 is: 1,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.05 : 1,653.46 = 737.17 : x
  2. Step 2: Convert to fraction form
    1,100.05/1,653.46 = 737.17/x
  3. Step 3: Cross multiply
    1,100.05x = 1,653.46 × 737.17
  4. Step 4: Simplify right side
    1,100.05x = 1,218,881.11
  5. Step 5: Solve for x
    x = 1,218,881.11/1,100.05
  6. Step 6: Final answer
    x = 1,108.02

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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.