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Finding the Fourth Proportional to 701.10, 966.42 and 480.06

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Solution

The fourth proportional to 701.10, 966.42 and 480.06 is: 661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.10 : 966.42 = 480.06 : x
  2. Step 2: Convert to fraction form
    701.10/966.42 = 480.06/x
  3. Step 3: Cross multiply
    701.10x = 966.42 × 480.06
  4. Step 4: Simplify right side
    701.10x = 463,939.59
  5. Step 5: Solve for x
    x = 463,939.59/701.10
  6. Step 6: Final answer
    x = 661.73

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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.