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Finding the Fourth Proportional to 522.25, 721.73 and 428.85

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Solution

The fourth proportional to 522.25, 721.73 and 428.85 is: 592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.25 : 721.73 = 428.85 : x
  2. Step 2: Convert to fraction form
    522.25/721.73 = 428.85/x
  3. Step 3: Cross multiply
    522.25x = 721.73 × 428.85
  4. Step 4: Simplify right side
    522.25x = 309,513.91
  5. Step 5: Solve for x
    x = 309,513.91/522.25
  6. Step 6: Final answer
    x = 592.65

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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.