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Finding the Fourth Proportional to 975.32, 1,450.43 and 944.56

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Solution

The fourth proportional to 975.32, 1,450.43 and 944.56 is: 1,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.32 : 1,450.43 = 944.56 : x
  2. Step 2: Convert to fraction form
    975.32/1,450.43 = 944.56/x
  3. Step 3: Cross multiply
    975.32x = 1,450.43 × 944.56
  4. Step 4: Simplify right side
    975.32x = 1,370,016.90
  5. Step 5: Solve for x
    x = 1,370,016.90/975.32
  6. Step 6: Final answer
    x = 1,404.69

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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.