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Finding the Fourth Proportional to 1,100.77, 1,519.01 and 603.39

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Solution

The fourth proportional to 1,100.77, 1,519.01 and 603.39 is: 832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.77 : 1,519.01 = 603.39 : x
  2. Step 2: Convert to fraction form
    1,100.77/1,519.01 = 603.39/x
  3. Step 3: Cross multiply
    1,100.77x = 1,519.01 × 603.39
  4. Step 4: Simplify right side
    1,100.77x = 916,553.94
  5. Step 5: Solve for x
    x = 916,553.94/1,100.77
  6. Step 6: Final answer
    x = 832.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.