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Finding the Fourth Proportional to 519.30, 778.68 and 259.02

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Solution

The fourth proportional to 519.30, 778.68 and 259.02 is: 388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.30 : 778.68 = 259.02 : x
  2. Step 2: Convert to fraction form
    519.30/778.68 = 259.02/x
  3. Step 3: Cross multiply
    519.30x = 778.68 × 259.02
  4. Step 4: Simplify right side
    519.30x = 201,693.69
  5. Step 5: Solve for x
    x = 201,693.69/519.30
  6. Step 6: Final answer
    x = 388.40

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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.