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Finding the Fourth Proportional to 703.54, 970.91 and 388.84

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Solution

The fourth proportional to 703.54, 970.91 and 388.84 is: 536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.54 : 970.91 = 388.84 : x
  2. Step 2: Convert to fraction form
    703.54/970.91 = 388.84/x
  3. Step 3: Cross multiply
    703.54x = 970.91 × 388.84
  4. Step 4: Simplify right side
    703.54x = 377,523.79
  5. Step 5: Solve for x
    x = 377,523.79/703.54
  6. Step 6: Final answer
    x = 536.61

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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.