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Finding the Fourth Proportional to 868.84, 1,190.33 and 834.28

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Solution

The fourth proportional to 868.84, 1,190.33 and 834.28 is: 1,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.84 : 1,190.33 = 834.28 : x
  2. Step 2: Convert to fraction form
    868.84/1,190.33 = 834.28/x
  3. Step 3: Cross multiply
    868.84x = 1,190.33 × 834.28
  4. Step 4: Simplify right side
    868.84x = 993,068.51
  5. Step 5: Solve for x
    x = 993,068.51/868.84
  6. Step 6: Final answer
    x = 1,142.98

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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.