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Finding the Fourth Proportional to 986.70, 1,361.68 and 737.58

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Solution

The fourth proportional to 986.70, 1,361.68 and 737.58 is: 1,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.70 : 1,361.68 = 737.58 : x
  2. Step 2: Convert to fraction form
    986.70/1,361.68 = 737.58/x
  3. Step 3: Cross multiply
    986.70x = 1,361.68 × 737.58
  4. Step 4: Simplify right side
    986.70x = 1,004,347.93
  5. Step 5: Solve for x
    x = 1,004,347.93/986.70
  6. Step 6: Final answer
    x = 1,017.89

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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.