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Finding the Fourth Proportional to 1,069.42, 1,603.50 and 419.41

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Solution

The fourth proportional to 1,069.42, 1,603.50 and 419.41 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.42 : 1,603.50 = 419.41 : x
  2. Step 2: Convert to fraction form
    1,069.42/1,603.50 = 419.41/x
  3. Step 3: Cross multiply
    1,069.42x = 1,603.50 × 419.41
  4. Step 4: Simplify right side
    1,069.42x = 672,523.94
  5. Step 5: Solve for x
    x = 672,523.94/1,069.42
  6. Step 6: Final answer
    x = 628.87

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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.