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Finding the Fourth Proportional to 1,184, 1,634.20 and 834.80

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Solution

The fourth proportional to 1,184, 1,634.20 and 834.80 is: 1,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184 : 1,634.20 = 834.80 : x
  2. Step 2: Convert to fraction form
    1,184/1,634.20 = 834.80/x
  3. Step 3: Cross multiply
    1,184x = 1,634.20 × 834.80
  4. Step 4: Simplify right side
    1,184x = 1,364,230.16
  5. Step 5: Solve for x
    x = 1,364,230.16/1,184
  6. Step 6: Final answer
    x = 1,152.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.