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Finding the Fourth Proportional to 703.93, 971.39 and 389.18

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Solution

The fourth proportional to 703.93, 971.39 and 389.18 is: 537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.93 : 971.39 = 389.18 : x
  2. Step 2: Convert to fraction form
    703.93/971.39 = 389.18/x
  3. Step 3: Cross multiply
    703.93x = 971.39 × 389.18
  4. Step 4: Simplify right side
    703.93x = 378,045.56
  5. Step 5: Solve for x
    x = 378,045.56/703.93
  6. Step 6: Final answer
    x = 537.05

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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.