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Finding the Fourth Proportional to 920.54, 1,378.80 and 568.06

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Solution

The fourth proportional to 920.54, 1,378.80 and 568.06 is: 850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.54 : 1,378.80 = 568.06 : x
  2. Step 2: Convert to fraction form
    920.54/1,378.80 = 568.06/x
  3. Step 3: Cross multiply
    920.54x = 1,378.80 × 568.06
  4. Step 4: Simplify right side
    920.54x = 783,241.13
  5. Step 5: Solve for x
    x = 783,241.13/920.54
  6. Step 6: Final answer
    x = 850.85

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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.