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Finding the Fourth Proportional to 797.89, 1,198.71 and 469.67

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Solution

The fourth proportional to 797.89, 1,198.71 and 469.67 is: 705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.89 : 1,198.71 = 469.67 : x
  2. Step 2: Convert to fraction form
    797.89/1,198.71 = 469.67/x
  3. Step 3: Cross multiply
    797.89x = 1,198.71 × 469.67
  4. Step 4: Simplify right side
    797.89x = 562,998.13
  5. Step 5: Solve for x
    x = 562,998.13/797.89
  6. Step 6: Final answer
    x = 705.61

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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.