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Finding the Fourth Proportional to 833.87, 1,150.75 and 479.84

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Solution

The fourth proportional to 833.87, 1,150.75 and 479.84 is: 662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.87 : 1,150.75 = 479.84 : x
  2. Step 2: Convert to fraction form
    833.87/1,150.75 = 479.84/x
  3. Step 3: Cross multiply
    833.87x = 1,150.75 × 479.84
  4. Step 4: Simplify right side
    833.87x = 552,175.88
  5. Step 5: Solve for x
    x = 552,175.88/833.87
  6. Step 6: Final answer
    x = 662.18

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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.