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Finding the Fourth Proportional to 684.15, 943.70 and 389.36

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Solution

The fourth proportional to 684.15, 943.70 and 389.36 is: 537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 943.70 = 389.36 : x
  2. Step 2: Convert to fraction form
    684.15/943.70 = 389.36/x
  3. Step 3: Cross multiply
    684.15x = 943.70 × 389.36
  4. Step 4: Simplify right side
    684.15x = 367,432.37
  5. Step 5: Solve for x
    x = 367,432.37/684.15
  6. Step 6: Final answer
    x = 537.06

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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.