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Finding the Fourth Proportional to 513.21, 708.19 and 289.16

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Solution

The fourth proportional to 513.21, 708.19 and 289.16 is: 399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.21 : 708.19 = 289.16 : x
  2. Step 2: Convert to fraction form
    513.21/708.19 = 289.16/x
  3. Step 3: Cross multiply
    513.21x = 708.19 × 289.16
  4. Step 4: Simplify right side
    513.21x = 204,775.96
  5. Step 5: Solve for x
    x = 204,775.96/513.21
  6. Step 6: Final answer
    x = 399.01

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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.