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Finding the Fourth Proportional to 520.88, 786.06 and 517.68

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Solution

The fourth proportional to 520.88, 786.06 and 517.68 is: 781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.88 : 786.06 = 517.68 : x
  2. Step 2: Convert to fraction form
    520.88/786.06 = 517.68/x
  3. Step 3: Cross multiply
    520.88x = 786.06 × 517.68
  4. Step 4: Simplify right side
    520.88x = 406,927.54
  5. Step 5: Solve for x
    x = 406,927.54/520.88
  6. Step 6: Final answer
    x = 781.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.