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Finding the Fourth Proportional to 518.25, 713.09 and 500.30

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Solution

The fourth proportional to 518.25, 713.09 and 500.30 is: 688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 713.09 = 500.30 : x
  2. Step 2: Convert to fraction form
    518.25/713.09 = 500.30/x
  3. Step 3: Cross multiply
    518.25x = 713.09 × 500.30
  4. Step 4: Simplify right side
    518.25x = 356,752.86
  5. Step 5: Solve for x
    x = 356,752.86/518.25
  6. Step 6: Final answer
    x = 688.38

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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.