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Finding the Fourth Proportional to 546.96, 824.16 and 526.80

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Solution

The fourth proportional to 546.96, 824.16 and 526.80 is: 793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.96 : 824.16 = 526.80 : x
  2. Step 2: Convert to fraction form
    546.96/824.16 = 526.80/x
  3. Step 3: Cross multiply
    546.96x = 824.16 × 526.80
  4. Step 4: Simplify right side
    546.96x = 434,167.49
  5. Step 5: Solve for x
    x = 434,167.49/546.96
  6. Step 6: Final answer
    x = 793.78

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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.