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Finding the Fourth Proportional to 517.86, 777.56 and 323.69

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Solution

The fourth proportional to 517.86, 777.56 and 323.69 is: 486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.86 : 777.56 = 323.69 : x
  2. Step 2: Convert to fraction form
    517.86/777.56 = 323.69/x
  3. Step 3: Cross multiply
    517.86x = 777.56 × 323.69
  4. Step 4: Simplify right side
    517.86x = 251,686.78
  5. Step 5: Solve for x
    x = 251,686.78/517.86
  6. Step 6: Final answer
    x = 486.01

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