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Finding the Fourth Proportional to 704.60, 972.96 and 443.06

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Solution

The fourth proportional to 704.60, 972.96 and 443.06 is: 611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.60 : 972.96 = 443.06 : x
  2. Step 2: Convert to fraction form
    704.60/972.96 = 443.06/x
  3. Step 3: Cross multiply
    704.60x = 972.96 × 443.06
  4. Step 4: Simplify right side
    704.60x = 431,079.66
  5. Step 5: Solve for x
    x = 431,079.66/704.60
  6. Step 6: Final answer
    x = 611.81

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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.