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Finding the Fourth Proportional to 724.29, 1,085.71 and 284.94

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Solution

The fourth proportional to 724.29, 1,085.71 and 284.94 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.29 : 1,085.71 = 284.94 : x
  2. Step 2: Convert to fraction form
    724.29/1,085.71 = 284.94/x
  3. Step 3: Cross multiply
    724.29x = 1,085.71 × 284.94
  4. Step 4: Simplify right side
    724.29x = 309,362.21
  5. Step 5: Solve for x
    x = 309,362.21/724.29
  6. Step 6: Final answer
    x = 427.12

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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.