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Finding the Fourth Proportional to 703.75, 971.21 and 393.25

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Solution

The fourth proportional to 703.75, 971.21 and 393.25 is: 542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.75 : 971.21 = 393.25 : x
  2. Step 2: Convert to fraction form
    703.75/971.21 = 393.25/x
  3. Step 3: Cross multiply
    703.75x = 971.21 × 393.25
  4. Step 4: Simplify right side
    703.75x = 381,926.37
  5. Step 5: Solve for x
    x = 381,926.37/703.75
  6. Step 6: Final answer
    x = 542.70

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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.