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Finding the Fourth Proportional to 551.44, 827.16 and 319.60

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Solution

The fourth proportional to 551.44, 827.16 and 319.60 is: 479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.44 : 827.16 = 319.60 : x
  2. Step 2: Convert to fraction form
    551.44/827.16 = 319.60/x
  3. Step 3: Cross multiply
    551.44x = 827.16 × 319.60
  4. Step 4: Simplify right side
    551.44x = 264,360.34
  5. Step 5: Solve for x
    x = 264,360.34/551.44
  6. Step 6: Final answer
    x = 479.40

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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.