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Finding the Fourth Proportional to 548.71, 821.45 and 316.89

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Solution

The fourth proportional to 548.71, 821.45 and 316.89 is: 474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.71 : 821.45 = 316.89 : x
  2. Step 2: Convert to fraction form
    548.71/821.45 = 316.89/x
  3. Step 3: Cross multiply
    548.71x = 821.45 × 316.89
  4. Step 4: Simplify right side
    548.71x = 260,310.08
  5. Step 5: Solve for x
    x = 260,310.08/548.71
  6. Step 6: Final answer
    x = 474.41

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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.