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Finding the Fourth Proportional to 986.70, 1,361.80 and 593.72

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Solution

The fourth proportional to 986.70, 1,361.80 and 593.72 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.70 : 1,361.80 = 593.72 : x
  2. Step 2: Convert to fraction form
    986.70/1,361.80 = 593.72/x
  3. Step 3: Cross multiply
    986.70x = 1,361.80 × 593.72
  4. Step 4: Simplify right side
    986.70x = 808,519.60
  5. Step 5: Solve for x
    x = 808,519.60/986.70
  6. Step 6: Final answer
    x = 819.42

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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.