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Finding the Fourth Proportional to 713.85, 1,064.75 and 650.97

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Solution

The fourth proportional to 713.85, 1,064.75 and 650.97 is: 970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.85 : 1,064.75 = 650.97 : x
  2. Step 2: Convert to fraction form
    713.85/1,064.75 = 650.97/x
  3. Step 3: Cross multiply
    713.85x = 1,064.75 × 650.97
  4. Step 4: Simplify right side
    713.85x = 693,121.93
  5. Step 5: Solve for x
    x = 693,121.93/713.85
  6. Step 6: Final answer
    x = 970.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.