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Finding the Fourth Proportional to 939.74, 1,297.36 and 566.81

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Solution

The fourth proportional to 939.74, 1,297.36 and 566.81 is: 782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.74 : 1,297.36 = 566.81 : x
  2. Step 2: Convert to fraction form
    939.74/1,297.36 = 566.81/x
  3. Step 3: Cross multiply
    939.74x = 1,297.36 × 566.81
  4. Step 4: Simplify right side
    939.74x = 735,360.57
  5. Step 5: Solve for x
    x = 735,360.57/939.74
  6. Step 6: Final answer
    x = 782.52

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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.