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Finding the Fourth Proportional to 515.68, 773.52 and 259

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Solution

The fourth proportional to 515.68, 773.52 and 259 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.68 : 773.52 = 259 : x
  2. Step 2: Convert to fraction form
    515.68/773.52 = 259/x
  3. Step 3: Cross multiply
    515.68x = 773.52 × 259
  4. Step 4: Simplify right side
    515.68x = 200,341.68
  5. Step 5: Solve for x
    x = 200,341.68/515.68
  6. Step 6: Final answer
    x = 388.50

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Double scale
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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.