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Finding the Fourth Proportional to 520.28, 718.01 and 299.26

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Solution

The fourth proportional to 520.28, 718.01 and 299.26 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.28 : 718.01 = 299.26 : x
  2. Step 2: Convert to fraction form
    520.28/718.01 = 299.26/x
  3. Step 3: Cross multiply
    520.28x = 718.01 × 299.26
  4. Step 4: Simplify right side
    520.28x = 214,871.67
  5. Step 5: Solve for x
    x = 214,871.67/520.28
  6. Step 6: Final answer
    x = 412.99

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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.