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Finding the Fourth Proportional to 964.75, 1,446.79 and 471.01

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Solution

The fourth proportional to 964.75, 1,446.79 and 471.01 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.75 : 1,446.79 = 471.01 : x
  2. Step 2: Convert to fraction form
    964.75/1,446.79 = 471.01/x
  3. Step 3: Cross multiply
    964.75x = 1,446.79 × 471.01
  4. Step 4: Simplify right side
    964.75x = 681,452.56
  5. Step 5: Solve for x
    x = 681,452.56/964.75
  6. Step 6: Final answer
    x = 706.35

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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.