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Finding the Fourth Proportional to 1,069.20, 1,603.13 and 452.55

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Solution

The fourth proportional to 1,069.20, 1,603.13 and 452.55 is: 678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.20 : 1,603.13 = 452.55 : x
  2. Step 2: Convert to fraction form
    1,069.20/1,603.13 = 452.55/x
  3. Step 3: Cross multiply
    1,069.20x = 1,603.13 × 452.55
  4. Step 4: Simplify right side
    1,069.20x = 725,496.48
  5. Step 5: Solve for x
    x = 725,496.48/1,069.20
  6. Step 6: Final answer
    x = 678.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.