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Finding the Fourth Proportional to 519.40, 778.14 and 467.56

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Solution

The fourth proportional to 519.40, 778.14 and 467.56 is: 700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.40 : 778.14 = 467.56 : x
  2. Step 2: Convert to fraction form
    519.40/778.14 = 467.56/x
  3. Step 3: Cross multiply
    519.40x = 778.14 × 467.56
  4. Step 4: Simplify right side
    519.40x = 363,827.14
  5. Step 5: Solve for x
    x = 363,827.14/519.40
  6. Step 6: Final answer
    x = 700.48

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1.5x scale

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.