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Finding the Fourth Proportional to 713.17, 1,069.91 and 226.20

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Solution

The fourth proportional to 713.17, 1,069.91 and 226.20 is: 339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.17 : 1,069.91 = 226.20 : x
  2. Step 2: Convert to fraction form
    713.17/1,069.91 = 226.20/x
  3. Step 3: Cross multiply
    713.17x = 1,069.91 × 226.20
  4. Step 4: Simplify right side
    713.17x = 242,017.37
  5. Step 5: Solve for x
    x = 242,017.37/713.17
  6. Step 6: Final answer
    x = 339.35

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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.