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Finding the Fourth Proportional to 939.89, 1,297.18 and 566.89

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Solution

The fourth proportional to 939.89, 1,297.18 and 566.89 is: 782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.89 : 1,297.18 = 566.89 : x
  2. Step 2: Convert to fraction form
    939.89/1,297.18 = 566.89/x
  3. Step 3: Cross multiply
    939.89x = 1,297.18 × 566.89
  4. Step 4: Simplify right side
    939.89x = 735,358.37
  5. Step 5: Solve for x
    x = 735,358.37/939.89
  6. Step 6: Final answer
    x = 782.39

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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.