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Finding the Fourth Proportional to 648.75, 971.30 and 494.04

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Solution

The fourth proportional to 648.75, 971.30 and 494.04 is: 739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 971.30 = 494.04 : x
  2. Step 2: Convert to fraction form
    648.75/971.30 = 494.04/x
  3. Step 3: Cross multiply
    648.75x = 971.30 × 494.04
  4. Step 4: Simplify right side
    648.75x = 479,865.93
  5. Step 5: Solve for x
    x = 479,865.93/648.75
  6. Step 6: Final answer
    x = 739.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.