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Finding the Fourth Proportional to 1,069.78, 1,603.44 and 491.44

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Solution

The fourth proportional to 1,069.78, 1,603.44 and 491.44 is: 736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.78 : 1,603.44 = 491.44 : x
  2. Step 2: Convert to fraction form
    1,069.78/1,603.44 = 491.44/x
  3. Step 3: Cross multiply
    1,069.78x = 1,603.44 × 491.44
  4. Step 4: Simplify right side
    1,069.78x = 787,990.55
  5. Step 5: Solve for x
    x = 787,990.55/1,069.78
  6. Step 6: Final answer
    x = 736.59

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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.