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Finding the Fourth Proportional to 1,069.92, 1,603.28 and 521.48

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Solution

The fourth proportional to 1,069.92, 1,603.28 and 521.48 is: 781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.92 : 1,603.28 = 521.48 : x
  2. Step 2: Convert to fraction form
    1,069.92/1,603.28 = 521.48/x
  3. Step 3: Cross multiply
    1,069.92x = 1,603.28 × 521.48
  4. Step 4: Simplify right side
    1,069.92x = 836,078.45
  5. Step 5: Solve for x
    x = 836,078.45/1,069.92
  6. Step 6: Final answer
    x = 781.44

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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.