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Finding the Fourth Proportional to 833.46, 1,242.62 and 811.82

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Solution

The fourth proportional to 833.46, 1,242.62 and 811.82 is: 1,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.46 : 1,242.62 = 811.82 : x
  2. Step 2: Convert to fraction form
    833.46/1,242.62 = 811.82/x
  3. Step 3: Cross multiply
    833.46x = 1,242.62 × 811.82
  4. Step 4: Simplify right side
    833.46x = 1,008,783.44
  5. Step 5: Solve for x
    x = 1,008,783.44/833.46
  6. Step 6: Final answer
    x = 1,210.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.