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Finding the Fourth Proportional to 518.15, 777.36 and 431.01

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Solution

The fourth proportional to 518.15, 777.36 and 431.01 is: 646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.15 : 777.36 = 431.01 : x
  2. Step 2: Convert to fraction form
    518.15/777.36 = 431.01/x
  3. Step 3: Cross multiply
    518.15x = 777.36 × 431.01
  4. Step 4: Simplify right side
    518.15x = 335,049.93
  5. Step 5: Solve for x
    x = 335,049.93/518.15
  6. Step 6: Final answer
    x = 646.63

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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.