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Finding the Fourth Proportional to 522.23, 720.52 and 298.17

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Solution

The fourth proportional to 522.23, 720.52 and 298.17 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.23 : 720.52 = 298.17 : x
  2. Step 2: Convert to fraction form
    522.23/720.52 = 298.17/x
  3. Step 3: Cross multiply
    522.23x = 720.52 × 298.17
  4. Step 4: Simplify right side
    522.23x = 214,833.85
  5. Step 5: Solve for x
    x = 214,833.85/522.23
  6. Step 6: Final answer
    x = 411.38

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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.