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Finding the Fourth Proportional to 518.72, 777.68 and 313.24

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Solution

The fourth proportional to 518.72, 777.68 and 313.24 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.72 : 777.68 = 313.24 : x
  2. Step 2: Convert to fraction form
    518.72/777.68 = 313.24/x
  3. Step 3: Cross multiply
    518.72x = 777.68 × 313.24
  4. Step 4: Simplify right side
    518.72x = 243,596.59
  5. Step 5: Solve for x
    x = 243,596.59/518.72
  6. Step 6: Final answer
    x = 469.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.