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Finding the Fourth Proportional to 522.71, 721.42 and 298.65

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Solution

The fourth proportional to 522.71, 721.42 and 298.65 is: 412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.71 : 721.42 = 298.65 : x
  2. Step 2: Convert to fraction form
    522.71/721.42 = 298.65/x
  3. Step 3: Cross multiply
    522.71x = 721.42 × 298.65
  4. Step 4: Simplify right side
    522.71x = 215,446.98
  5. Step 5: Solve for x
    x = 215,446.98/522.71
  6. Step 6: Final answer
    x = 412.17

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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.