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Finding the Fourth Proportional to 703.77, 971.23 and 389.05

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Solution

The fourth proportional to 703.77, 971.23 and 389.05 is: 536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.77 : 971.23 = 389.05 : x
  2. Step 2: Convert to fraction form
    703.77/971.23 = 389.05/x
  3. Step 3: Cross multiply
    703.77x = 971.23 × 389.05
  4. Step 4: Simplify right side
    703.77x = 377,857.03
  5. Step 5: Solve for x
    x = 377,857.03/703.77
  6. Step 6: Final answer
    x = 536.90

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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.