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Finding the Fourth Proportional to 546.44, 824.95 and 543.56

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Solution

The fourth proportional to 546.44, 824.95 and 543.56 is: 820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.44 : 824.95 = 543.56 : x
  2. Step 2: Convert to fraction form
    546.44/824.95 = 543.56/x
  3. Step 3: Cross multiply
    546.44x = 824.95 × 543.56
  4. Step 4: Simplify right side
    546.44x = 448,409.82
  5. Step 5: Solve for x
    x = 448,409.82/546.44
  6. Step 6: Final answer
    x = 820.60

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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.