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Finding the Fourth Proportional to 841.84, 1,161.66 and 779.92

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Solution

The fourth proportional to 841.84, 1,161.66 and 779.92 is: 1,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.84 : 1,161.66 = 779.92 : x
  2. Step 2: Convert to fraction form
    841.84/1,161.66 = 779.92/x
  3. Step 3: Cross multiply
    841.84x = 1,161.66 × 779.92
  4. Step 4: Simplify right side
    841.84x = 906,001.87
  5. Step 5: Solve for x
    x = 906,001.87/841.84
  6. Step 6: Final answer
    x = 1,076.22

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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.