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Finding the Fourth Proportional to 986.90, 1,361.12 and 593.84

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Solution

The fourth proportional to 986.90, 1,361.12 and 593.84 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.90 : 1,361.12 = 593.84 : x
  2. Step 2: Convert to fraction form
    986.90/1,361.12 = 593.84/x
  3. Step 3: Cross multiply
    986.90x = 1,361.12 × 593.84
  4. Step 4: Simplify right side
    986.90x = 808,277.73
  5. Step 5: Solve for x
    x = 808,277.73/986.90
  6. Step 6: Final answer
    x = 819.01

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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.