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Finding the Fourth Proportional to 522.45, 721.10 and 323.39

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Solution

The fourth proportional to 522.45, 721.10 and 323.39 is: 446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.45 : 721.10 = 323.39 : x
  2. Step 2: Convert to fraction form
    522.45/721.10 = 323.39/x
  3. Step 3: Cross multiply
    522.45x = 721.10 × 323.39
  4. Step 4: Simplify right side
    522.45x = 233,199.14
  5. Step 5: Solve for x
    x = 233,199.14/522.45
  6. Step 6: Final answer
    x = 446.36

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1.5x scale

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.