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Finding the Fourth Proportional to 835.38, 1,251.18 and 526.77

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Solution

The fourth proportional to 835.38, 1,251.18 and 526.77 is: 788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.38 : 1,251.18 = 526.77 : x
  2. Step 2: Convert to fraction form
    835.38/1,251.18 = 526.77/x
  3. Step 3: Cross multiply
    835.38x = 1,251.18 × 526.77
  4. Step 4: Simplify right side
    835.38x = 659,084.09
  5. Step 5: Solve for x
    x = 659,084.09/835.38
  6. Step 6: Final answer
    x = 788.96

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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.