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Finding the Fourth Proportional to 548, 821.76 and 316.64

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Solution

The fourth proportional to 548, 821.76 and 316.64 is: 474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548 : 821.76 = 316.64 : x
  2. Step 2: Convert to fraction form
    548/821.76 = 316.64/x
  3. Step 3: Cross multiply
    548x = 821.76 × 316.64
  4. Step 4: Simplify right side
    548x = 260,202.09
  5. Step 5: Solve for x
    x = 260,202.09/548
  6. Step 6: Final answer
    x = 474.82

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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.