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Finding the Fourth Proportional to 548.34, 821.86 and 316.74

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Solution

The fourth proportional to 548.34, 821.86 and 316.74 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.34 : 821.86 = 316.74 : x
  2. Step 2: Convert to fraction form
    548.34/821.86 = 316.74/x
  3. Step 3: Cross multiply
    548.34x = 821.86 × 316.74
  4. Step 4: Simplify right side
    548.34x = 260,315.94
  5. Step 5: Solve for x
    x = 260,315.94/548.34
  6. Step 6: Final answer
    x = 474.73

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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.