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Finding the Fourth Proportional to 841.66, 1,161.89 and 505.73

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Solution

The fourth proportional to 841.66, 1,161.89 and 505.73 is: 698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.66 : 1,161.89 = 505.73 : x
  2. Step 2: Convert to fraction form
    841.66/1,161.89 = 505.73/x
  3. Step 3: Cross multiply
    841.66x = 1,161.89 × 505.73
  4. Step 4: Simplify right side
    841.66x = 587,594.29
  5. Step 5: Solve for x
    x = 587,594.29/841.66
  6. Step 6: Final answer
    x = 698.14

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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.