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Finding the Fourth Proportional to 546.87, 824.43 and 511.64

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Solution

The fourth proportional to 546.87, 824.43 and 511.64 is: 771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.87 : 824.43 = 511.64 : x
  2. Step 2: Convert to fraction form
    546.87/824.43 = 511.64/x
  3. Step 3: Cross multiply
    546.87x = 824.43 × 511.64
  4. Step 4: Simplify right side
    546.87x = 421,812.25
  5. Step 5: Solve for x
    x = 421,812.25/546.87
  6. Step 6: Final answer
    x = 771.32

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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.