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Finding the Fourth Proportional to 703.70, 971.10 and 393.20

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Solution

The fourth proportional to 703.70, 971.10 and 393.20 is: 542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.70 : 971.10 = 393.20 : x
  2. Step 2: Convert to fraction form
    703.70/971.10 = 393.20/x
  3. Step 3: Cross multiply
    703.70x = 971.10 × 393.20
  4. Step 4: Simplify right side
    703.70x = 381,836.52
  5. Step 5: Solve for x
    x = 381,836.52/703.70
  6. Step 6: Final answer
    x = 542.61

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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.