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Finding the Fourth Proportional to 1,101.04, 1,519.43 and 603.68

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Solution

The fourth proportional to 1,101.04, 1,519.43 and 603.68 is: 833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.04 : 1,519.43 = 603.68 : x
  2. Step 2: Convert to fraction form
    1,101.04/1,519.43 = 603.68/x
  3. Step 3: Cross multiply
    1,101.04x = 1,519.43 × 603.68
  4. Step 4: Simplify right side
    1,101.04x = 917,249.50
  5. Step 5: Solve for x
    x = 917,249.50/1,101.04
  6. Step 6: Final answer
    x = 833.08

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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.