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Finding the Fourth Proportional to 713.25, 1,069.67 and 274.53

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Solution

The fourth proportional to 713.25, 1,069.67 and 274.53 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.25 : 1,069.67 = 274.53 : x
  2. Step 2: Convert to fraction form
    713.25/1,069.67 = 274.53/x
  3. Step 3: Cross multiply
    713.25x = 1,069.67 × 274.53
  4. Step 4: Simplify right side
    713.25x = 293,655.13
  5. Step 5: Solve for x
    x = 293,655.13/713.25
  6. Step 6: Final answer
    x = 411.71

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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.