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Finding the Fourth Proportional to 522.72, 721.80 and 495.54

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Solution

The fourth proportional to 522.72, 721.80 and 495.54 is: 684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.72 : 721.80 = 495.54 : x
  2. Step 2: Convert to fraction form
    522.72/721.80 = 495.54/x
  3. Step 3: Cross multiply
    522.72x = 721.80 × 495.54
  4. Step 4: Simplify right side
    522.72x = 357,680.77
  5. Step 5: Solve for x
    x = 357,680.77/522.72
  6. Step 6: Final answer
    x = 684.27

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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.