Home / 1,069.28-1,603.25-419.26

Finding the Fourth Proportional to 1,069.28, 1,603.25 and 419.26

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Solution

The fourth proportional to 1,069.28, 1,603.25 and 419.26 is: 628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.28 : 1,603.25 = 419.26 : x
  2. Step 2: Convert to fraction form
    1,069.28/1,603.25 = 419.26/x
  3. Step 3: Cross multiply
    1,069.28x = 1,603.25 × 419.26
  4. Step 4: Simplify right side
    1,069.28x = 672,178.60
  5. Step 5: Solve for x
    x = 672,178.60/1,069.28
  6. Step 6: Final answer
    x = 628.63

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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.