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Finding the Fourth Proportional to 675.62, 1,012.38 and 650.32

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Solution

The fourth proportional to 675.62, 1,012.38 and 650.32 is: 974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.62 : 1,012.38 = 650.32 : x
  2. Step 2: Convert to fraction form
    675.62/1,012.38 = 650.32/x
  3. Step 3: Cross multiply
    675.62x = 1,012.38 × 650.32
  4. Step 4: Simplify right side
    675.62x = 658,370.96
  5. Step 5: Solve for x
    x = 658,370.96/675.62
  6. Step 6: Final answer
    x = 974.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.