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Finding the Fourth Proportional to 724.22, 1,085.72 and 285.23

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Solution

The fourth proportional to 724.22, 1,085.72 and 285.23 is: 427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.22 : 1,085.72 = 285.23 : x
  2. Step 2: Convert to fraction form
    724.22/1,085.72 = 285.23/x
  3. Step 3: Cross multiply
    724.22x = 1,085.72 × 285.23
  4. Step 4: Simplify right side
    724.22x = 309,679.92
  5. Step 5: Solve for x
    x = 309,679.92/724.22
  6. Step 6: Final answer
    x = 427.60

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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.