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Finding the Fourth Proportional to 519.44, 778.35 and 302.77

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Solution

The fourth proportional to 519.44, 778.35 and 302.77 is: 453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 778.35 = 302.77 : x
  2. Step 2: Convert to fraction form
    519.44/778.35 = 302.77/x
  3. Step 3: Cross multiply
    519.44x = 778.35 × 302.77
  4. Step 4: Simplify right side
    519.44x = 235,657.14
  5. Step 5: Solve for x
    x = 235,657.14/519.44
  6. Step 6: Final answer
    x = 453.68

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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.