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Finding the Fourth Proportional to 522.90, 721.65 and 323.71

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Solution

The fourth proportional to 522.90, 721.65 and 323.71 is: 446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 721.65 = 323.71 : x
  2. Step 2: Convert to fraction form
    522.90/721.65 = 323.71/x
  3. Step 3: Cross multiply
    522.90x = 721.65 × 323.71
  4. Step 4: Simplify right side
    522.90x = 233,605.32
  5. Step 5: Solve for x
    x = 233,605.32/522.90
  6. Step 6: Final answer
    x = 446.75

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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.