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Finding the Fourth Proportional to 522.26, 717.41 and 495.93

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Solution

The fourth proportional to 522.26, 717.41 and 495.93 is: 681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.26 : 717.41 = 495.93 : x
  2. Step 2: Convert to fraction form
    522.26/717.41 = 495.93/x
  3. Step 3: Cross multiply
    522.26x = 717.41 × 495.93
  4. Step 4: Simplify right side
    522.26x = 355,782.66
  5. Step 5: Solve for x
    x = 355,782.66/522.26
  6. Step 6: Final answer
    x = 681.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.