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Finding the Fourth Proportional to 986.16, 1,361.70 and 672.09

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Solution

The fourth proportional to 986.16, 1,361.70 and 672.09 is: 928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.16 : 1,361.70 = 672.09 : x
  2. Step 2: Convert to fraction form
    986.16/1,361.70 = 672.09/x
  3. Step 3: Cross multiply
    986.16x = 1,361.70 × 672.09
  4. Step 4: Simplify right side
    986.16x = 915,184.95
  5. Step 5: Solve for x
    x = 915,184.95/986.16
  6. Step 6: Final answer
    x = 928.03

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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.