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Finding the Fourth Proportional to 546.78, 819.08 and 526.66

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Solution

The fourth proportional to 546.78, 819.08 and 526.66 is: 788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 819.08 = 526.66 : x
  2. Step 2: Convert to fraction form
    546.78/819.08 = 526.66/x
  3. Step 3: Cross multiply
    546.78x = 819.08 × 526.66
  4. Step 4: Simplify right side
    546.78x = 431,376.67
  5. Step 5: Solve for x
    x = 431,376.67/546.78
  6. Step 6: Final answer
    x = 788.94

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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.