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Finding the Fourth Proportional to 519.48, 778.49 and 259.24

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Solution

The fourth proportional to 519.48, 778.49 and 259.24 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.48 : 778.49 = 259.24 : x
  2. Step 2: Convert to fraction form
    519.48/778.49 = 259.24/x
  3. Step 3: Cross multiply
    519.48x = 778.49 × 259.24
  4. Step 4: Simplify right side
    519.48x = 201,815.75
  5. Step 5: Solve for x
    x = 201,815.75/519.48
  6. Step 6: Final answer
    x = 388.50

Related Problems

Find fourth proportional to 259.74, 389.25 and 129.62
Half scale
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Double scale
Find fourth proportional to 520.48, 779.99 and 260.24
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.