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Finding the Fourth Proportional to 551.70, 828.35 and 415.70

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Solution

The fourth proportional to 551.70, 828.35 and 415.70 is: 624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 828.35 = 415.70 : x
  2. Step 2: Convert to fraction form
    551.70/828.35 = 415.70/x
  3. Step 3: Cross multiply
    551.70x = 828.35 × 415.70
  4. Step 4: Simplify right side
    551.70x = 344,345.10
  5. Step 5: Solve for x
    x = 344,345.10/551.70
  6. Step 6: Final answer
    x = 624.15

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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.