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Finding the Fourth Proportional to 518.72, 717.18 and 495.77

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Solution

The fourth proportional to 518.72, 717.18 and 495.77 is: 685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.72 : 717.18 = 495.77 : x
  2. Step 2: Convert to fraction form
    518.72/717.18 = 495.77/x
  3. Step 3: Cross multiply
    518.72x = 717.18 × 495.77
  4. Step 4: Simplify right side
    518.72x = 355,552.74
  5. Step 5: Solve for x
    x = 355,552.74/518.72
  6. Step 6: Final answer
    x = 685.45

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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.