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Finding the Fourth Proportional to 518.91, 774.59 and 431.43

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Solution

The fourth proportional to 518.91, 774.59 and 431.43 is: 644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.91 : 774.59 = 431.43 : x
  2. Step 2: Convert to fraction form
    518.91/774.59 = 431.43/x
  3. Step 3: Cross multiply
    518.91x = 774.59 × 431.43
  4. Step 4: Simplify right side
    518.91x = 334,181.36
  5. Step 5: Solve for x
    x = 334,181.36/518.91
  6. Step 6: Final answer
    x = 644.01

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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.