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Finding the Fourth Proportional to 986.63, 1,361.63 and 737.51

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Solution

The fourth proportional to 986.63, 1,361.63 and 737.51 is: 1,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.63 : 1,361.63 = 737.51 : x
  2. Step 2: Convert to fraction form
    986.63/1,361.63 = 737.51/x
  3. Step 3: Cross multiply
    986.63x = 1,361.63 × 737.51
  4. Step 4: Simplify right side
    986.63x = 1,004,210.78
  5. Step 5: Solve for x
    x = 1,004,210.78/986.63
  6. Step 6: Final answer
    x = 1,017.82

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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.