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Finding the Fourth Proportional to 704.46, 971.79 and 442.65

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Solution

The fourth proportional to 704.46, 971.79 and 442.65 is: 610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.46 : 971.79 = 442.65 : x
  2. Step 2: Convert to fraction form
    704.46/971.79 = 442.65/x
  3. Step 3: Cross multiply
    704.46x = 971.79 × 442.65
  4. Step 4: Simplify right side
    704.46x = 430,162.84
  5. Step 5: Solve for x
    x = 430,162.84/704.46
  6. Step 6: Final answer
    x = 610.63

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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.