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Finding the Fourth Proportional to 835.47, 1,251.86 and 509.85

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Solution

The fourth proportional to 835.47, 1,251.86 and 509.85 is: 763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.47 : 1,251.86 = 509.85 : x
  2. Step 2: Convert to fraction form
    835.47/1,251.86 = 509.85/x
  3. Step 3: Cross multiply
    835.47x = 1,251.86 × 509.85
  4. Step 4: Simplify right side
    835.47x = 638,258.27
  5. Step 5: Solve for x
    x = 638,258.27/835.47
  6. Step 6: Final answer
    x = 763.95

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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.