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Finding the Fourth Proportional to 939.81, 1,297.02 and 566.79

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Solution

The fourth proportional to 939.81, 1,297.02 and 566.79 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.81 : 1,297.02 = 566.79 : x
  2. Step 2: Convert to fraction form
    939.81/1,297.02 = 566.79/x
  3. Step 3: Cross multiply
    939.81x = 1,297.02 × 566.79
  4. Step 4: Simplify right side
    939.81x = 735,137.97
  5. Step 5: Solve for x
    x = 735,137.97/939.81
  6. Step 6: Final answer
    x = 782.22

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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.