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Finding the Fourth Proportional to 518.91, 778.30 and 404.08

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Solution

The fourth proportional to 518.91, 778.30 and 404.08 is: 606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.91 : 778.30 = 404.08 : x
  2. Step 2: Convert to fraction form
    518.91/778.30 = 404.08/x
  3. Step 3: Cross multiply
    518.91x = 778.30 × 404.08
  4. Step 4: Simplify right side
    518.91x = 314,495.46
  5. Step 5: Solve for x
    x = 314,495.46/518.91
  6. Step 6: Final answer
    x = 606.07

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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.