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Finding the Fourth Proportional to 513.64, 709.21 and 402.92

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Solution

The fourth proportional to 513.64, 709.21 and 402.92 is: 556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.64 : 709.21 = 402.92 : x
  2. Step 2: Convert to fraction form
    513.64/709.21 = 402.92/x
  3. Step 3: Cross multiply
    513.64x = 709.21 × 402.92
  4. Step 4: Simplify right side
    513.64x = 285,756.23
  5. Step 5: Solve for x
    x = 285,756.23/513.64
  6. Step 6: Final answer
    x = 556.33

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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.