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Finding the Fourth Proportional to 703.96, 971.80 and 538.86

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Solution

The fourth proportional to 703.96, 971.80 and 538.86 is: 743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.96 : 971.80 = 538.86 : x
  2. Step 2: Convert to fraction form
    703.96/971.80 = 538.86/x
  3. Step 3: Cross multiply
    703.96x = 971.80 × 538.86
  4. Step 4: Simplify right side
    703.96x = 523,664.15
  5. Step 5: Solve for x
    x = 523,664.15/703.96
  6. Step 6: Final answer
    x = 743.88

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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.