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Finding the Fourth Proportional to 579.80, 873.96 and 546.34

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Solution

The fourth proportional to 579.80, 873.96 and 546.34 is: 823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.80 : 873.96 = 546.34 : x
  2. Step 2: Convert to fraction form
    579.80/873.96 = 546.34/x
  3. Step 3: Cross multiply
    579.80x = 873.96 × 546.34
  4. Step 4: Simplify right side
    579.80x = 477,479.31
  5. Step 5: Solve for x
    x = 477,479.31/579.80
  6. Step 6: Final answer
    x = 823.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.