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Finding the Fourth Proportional to 555.49, 834.18 and 546.85

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Solution

The fourth proportional to 555.49, 834.18 and 546.85 is: 821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.49 : 834.18 = 546.85 : x
  2. Step 2: Convert to fraction form
    555.49/834.18 = 546.85/x
  3. Step 3: Cross multiply
    555.49x = 834.18 × 546.85
  4. Step 4: Simplify right side
    555.49x = 456,171.33
  5. Step 5: Solve for x
    x = 456,171.33/555.49
  6. Step 6: Final answer
    x = 821.21

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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.