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Finding the Fourth Proportional to 579.76, 871 and 546.96

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Solution

The fourth proportional to 579.76, 871 and 546.96 is: 821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.76 : 871 = 546.96 : x
  2. Step 2: Convert to fraction form
    579.76/871 = 546.96/x
  3. Step 3: Cross multiply
    579.76x = 871 × 546.96
  4. Step 4: Simplify right side
    579.76x = 476,402.16
  5. Step 5: Solve for x
    x = 476,402.16/579.76
  6. Step 6: Final answer
    x = 821.72

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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.