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Finding the Fourth Proportional to 522.92, 721.76 and 313.22

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Solution

The fourth proportional to 522.92, 721.76 and 313.22 is: 432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.92 : 721.76 = 313.22 : x
  2. Step 2: Convert to fraction form
    522.92/721.76 = 313.22/x
  3. Step 3: Cross multiply
    522.92x = 721.76 × 313.22
  4. Step 4: Simplify right side
    522.92x = 226,069.67
  5. Step 5: Solve for x
    x = 226,069.67/522.92
  6. Step 6: Final answer
    x = 432.32

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Similar ratio
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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.