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Finding the Fourth Proportional to 1,069.12, 1,603.38 and 419.68

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Solution

The fourth proportional to 1,069.12, 1,603.38 and 419.68 is: 629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.12 : 1,603.38 = 419.68 : x
  2. Step 2: Convert to fraction form
    1,069.12/1,603.38 = 419.68/x
  3. Step 3: Cross multiply
    1,069.12x = 1,603.38 × 419.68
  4. Step 4: Simplify right side
    1,069.12x = 672,906.52
  5. Step 5: Solve for x
    x = 672,906.52/1,069.12
  6. Step 6: Final answer
    x = 629.40

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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.