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Finding the Fourth Proportional to 546.91, 820.70 and 316.25

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Solution

The fourth proportional to 546.91, 820.70 and 316.25 is: 474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.91 : 820.70 = 316.25 : x
  2. Step 2: Convert to fraction form
    546.91/820.70 = 316.25/x
  3. Step 3: Cross multiply
    546.91x = 820.70 × 316.25
  4. Step 4: Simplify right side
    546.91x = 259,544.79
  5. Step 5: Solve for x
    x = 259,544.79/546.91
  6. Step 6: Final answer
    x = 474.57

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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.