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Finding the Fourth Proportional to 520.12, 717.64 and 310.36

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Solution

The fourth proportional to 520.12, 717.64 and 310.36 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.12 : 717.64 = 310.36 : x
  2. Step 2: Convert to fraction form
    520.12/717.64 = 310.36/x
  3. Step 3: Cross multiply
    520.12x = 717.64 × 310.36
  4. Step 4: Simplify right side
    520.12x = 222,726.75
  5. Step 5: Solve for x
    x = 222,726.75/520.12
  6. Step 6: Final answer
    x = 428.22

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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.