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Finding the Fourth Proportional to 518.02, 772.07 and 495.13

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Solution

The fourth proportional to 518.02, 772.07 and 495.13 is: 737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.02 : 772.07 = 495.13 : x
  2. Step 2: Convert to fraction form
    518.02/772.07 = 495.13/x
  3. Step 3: Cross multiply
    518.02x = 772.07 × 495.13
  4. Step 4: Simplify right side
    518.02x = 382,275.02
  5. Step 5: Solve for x
    x = 382,275.02/518.02
  6. Step 6: Final answer
    x = 737.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.