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Finding the Fourth Proportional to 520.14, 717.77 and 299.07

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Solution

The fourth proportional to 520.14, 717.77 and 299.07 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.14 : 717.77 = 299.07 : x
  2. Step 2: Convert to fraction form
    520.14/717.77 = 299.07/x
  3. Step 3: Cross multiply
    520.14x = 717.77 × 299.07
  4. Step 4: Simplify right side
    520.14x = 214,664.22
  5. Step 5: Solve for x
    x = 214,664.22/520.14
  6. Step 6: Final answer
    x = 412.70

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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.