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Finding the Fourth Proportional to 548.87, 819.14 and 526.55

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Solution

The fourth proportional to 548.87, 819.14 and 526.55 is: 785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.87 : 819.14 = 526.55 : x
  2. Step 2: Convert to fraction form
    548.87/819.14 = 526.55/x
  3. Step 3: Cross multiply
    548.87x = 819.14 × 526.55
  4. Step 4: Simplify right side
    548.87x = 431,315.88
  5. Step 5: Solve for x
    x = 431,315.88/548.87
  6. Step 6: Final answer
    x = 785.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.