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Finding the Fourth Proportional to 551.78, 827.61 and 415.70

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Solution

The fourth proportional to 551.78, 827.61 and 415.70 is: 623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.78 : 827.61 = 415.70 : x
  2. Step 2: Convert to fraction form
    551.78/827.61 = 415.70/x
  3. Step 3: Cross multiply
    551.78x = 827.61 × 415.70
  4. Step 4: Simplify right side
    551.78x = 344,037.48
  5. Step 5: Solve for x
    x = 344,037.48/551.78
  6. Step 6: Final answer
    x = 623.50

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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.