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Finding the Fourth Proportional to 986.70, 1,469.52 and 975.36

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Solution

The fourth proportional to 986.70, 1,469.52 and 975.36 is: 1,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.70 : 1,469.52 = 975.36 : x
  2. Step 2: Convert to fraction form
    986.70/1,469.52 = 975.36/x
  3. Step 3: Cross multiply
    986.70x = 1,469.52 × 975.36
  4. Step 4: Simplify right side
    986.70x = 1,433,311.03
  5. Step 5: Solve for x
    x = 1,433,311.03/986.70
  6. Step 6: Final answer
    x = 1,452.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.