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Finding the Fourth Proportional to 520.16, 717.87 and 299.24

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Solution

The fourth proportional to 520.16, 717.87 and 299.24 is: 412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 717.87 = 299.24 : x
  2. Step 2: Convert to fraction form
    520.16/717.87 = 299.24/x
  3. Step 3: Cross multiply
    520.16x = 717.87 × 299.24
  4. Step 4: Simplify right side
    520.16x = 214,815.42
  5. Step 5: Solve for x
    x = 214,815.42/520.16
  6. Step 6: Final answer
    x = 412.98

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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.