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Finding the Fourth Proportional to 551.31, 824.53 and 319.60

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Solution

The fourth proportional to 551.31, 824.53 and 319.60 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.31 : 824.53 = 319.60 : x
  2. Step 2: Convert to fraction form
    551.31/824.53 = 319.60/x
  3. Step 3: Cross multiply
    551.31x = 824.53 × 319.60
  4. Step 4: Simplify right side
    551.31x = 263,515.98
  5. Step 5: Solve for x
    x = 263,515.98/551.31
  6. Step 6: Final answer
    x = 477.98

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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.