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Finding the Fourth Proportional to 551.74, 827.60 and 259.17

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Solution

The fourth proportional to 551.74, 827.60 and 259.17 is: 388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.74 : 827.60 = 259.17 : x
  2. Step 2: Convert to fraction form
    551.74/827.60 = 259.17/x
  3. Step 3: Cross multiply
    551.74x = 827.60 × 259.17
  4. Step 4: Simplify right side
    551.74x = 214,487.02
  5. Step 5: Solve for x
    x = 214,487.02/551.74
  6. Step 6: Final answer
    x = 388.75

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Double scale
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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.