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Finding the Fourth Proportional to 518.09, 777.42 and 313.35

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Solution

The fourth proportional to 518.09, 777.42 and 313.35 is: 470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.09 : 777.42 = 313.35 : x
  2. Step 2: Convert to fraction form
    518.09/777.42 = 313.35/x
  3. Step 3: Cross multiply
    518.09x = 777.42 × 313.35
  4. Step 4: Simplify right side
    518.09x = 243,604.56
  5. Step 5: Solve for x
    x = 243,604.56/518.09
  6. Step 6: Final answer
    x = 470.20

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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.