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Finding the Fourth Proportional to 830.84, 1,138.25 and 799.70

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Solution

The fourth proportional to 830.84, 1,138.25 and 799.70 is: 1,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,138.25 = 799.70 : x
  2. Step 2: Convert to fraction form
    830.84/1,138.25 = 799.70/x
  3. Step 3: Cross multiply
    830.84x = 1,138.25 × 799.70
  4. Step 4: Simplify right side
    830.84x = 910,250.83
  5. Step 5: Solve for x
    x = 910,250.83/830.84
  6. Step 6: Final answer
    x = 1,095.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.