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Finding the Fourth Proportional to 704.22, 971.48 and 455.76

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Solution

The fourth proportional to 704.22, 971.48 and 455.76 is: 628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.22 : 971.48 = 455.76 : x
  2. Step 2: Convert to fraction form
    704.22/971.48 = 455.76/x
  3. Step 3: Cross multiply
    704.22x = 971.48 × 455.76
  4. Step 4: Simplify right side
    704.22x = 442,761.72
  5. Step 5: Solve for x
    x = 442,761.72/704.22
  6. Step 6: Final answer
    x = 628.73

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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.