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Finding the Fourth Proportional to 986.12, 1,359.94 and 631.70

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Solution

The fourth proportional to 986.12, 1,359.94 and 631.70 is: 871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.12 : 1,359.94 = 631.70 : x
  2. Step 2: Convert to fraction form
    986.12/1,359.94 = 631.70/x
  3. Step 3: Cross multiply
    986.12x = 1,359.94 × 631.70
  4. Step 4: Simplify right side
    986.12x = 859,072.00
  5. Step 5: Solve for x
    x = 859,072.00/986.12
  6. Step 6: Final answer
    x = 871.16

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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.