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Finding the Fourth Proportional to 986.28, 1,359.90 and 706.20

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Solution

The fourth proportional to 986.28, 1,359.90 and 706.20 is: 973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.28 : 1,359.90 = 706.20 : x
  2. Step 2: Convert to fraction form
    986.28/1,359.90 = 706.20/x
  3. Step 3: Cross multiply
    986.28x = 1,359.90 × 706.20
  4. Step 4: Simplify right side
    986.28x = 960,361.38
  5. Step 5: Solve for x
    x = 960,361.38/986.28
  6. Step 6: Final answer
    x = 973.72

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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.