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Finding the Fourth Proportional to 547.68, 822.24 and 462.72

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Solution

The fourth proportional to 547.68, 822.24 and 462.72 is: 694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.68 : 822.24 = 462.72 : x
  2. Step 2: Convert to fraction form
    547.68/822.24 = 462.72/x
  3. Step 3: Cross multiply
    547.68x = 822.24 × 462.72
  4. Step 4: Simplify right side
    547.68x = 380,466.89
  5. Step 5: Solve for x
    x = 380,466.89/547.68
  6. Step 6: Final answer
    x = 694.69

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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.