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Finding the Fourth Proportional to 519.24, 778.56 and 259.22

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Solution

The fourth proportional to 519.24, 778.56 and 259.22 is: 388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.24 : 778.56 = 259.22 : x
  2. Step 2: Convert to fraction form
    519.24/778.56 = 259.22/x
  3. Step 3: Cross multiply
    519.24x = 778.56 × 259.22
  4. Step 4: Simplify right side
    519.24x = 201,818.32
  5. Step 5: Solve for x
    x = 201,818.32/519.24
  6. Step 6: Final answer
    x = 388.68

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.