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Finding the Fourth Proportional to 852.15, 1,277.54 and 526.83

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Solution

The fourth proportional to 852.15, 1,277.54 and 526.83 is: 789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.15 : 1,277.54 = 526.83 : x
  2. Step 2: Convert to fraction form
    852.15/1,277.54 = 526.83/x
  3. Step 3: Cross multiply
    852.15x = 1,277.54 × 526.83
  4. Step 4: Simplify right side
    852.15x = 673,043.76
  5. Step 5: Solve for x
    x = 673,043.76/852.15
  6. Step 6: Final answer
    x = 789.82

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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.