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Finding the Fourth Proportional to 704.41, 963.46 and 693.07

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Solution

The fourth proportional to 704.41, 963.46 and 693.07 is: 947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.41 : 963.46 = 693.07 : x
  2. Step 2: Convert to fraction form
    704.41/963.46 = 693.07/x
  3. Step 3: Cross multiply
    704.41x = 963.46 × 693.07
  4. Step 4: Simplify right side
    704.41x = 667,739.78
  5. Step 5: Solve for x
    x = 667,739.78/704.41
  6. Step 6: Final answer
    x = 947.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.