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Finding the Fourth Proportional to 518.60, 773.47 and 500.24

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Solution

The fourth proportional to 518.60, 773.47 and 500.24 is: 746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.60 : 773.47 = 500.24 : x
  2. Step 2: Convert to fraction form
    518.60/773.47 = 500.24/x
  3. Step 3: Cross multiply
    518.60x = 773.47 × 500.24
  4. Step 4: Simplify right side
    518.60x = 386,920.63
  5. Step 5: Solve for x
    x = 386,920.63/518.60
  6. Step 6: Final answer
    x = 746.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.