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Finding the Fourth Proportional to 774.53, 1,069.25 and 541.73

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Solution

The fourth proportional to 774.53, 1,069.25 and 541.73 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.53 : 1,069.25 = 541.73 : x
  2. Step 2: Convert to fraction form
    774.53/1,069.25 = 541.73/x
  3. Step 3: Cross multiply
    774.53x = 1,069.25 × 541.73
  4. Step 4: Simplify right side
    774.53x = 579,242.09
  5. Step 5: Solve for x
    x = 579,242.09/774.53
  6. Step 6: Final answer
    x = 747.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.