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Finding the Fourth Proportional to 684.07, 944.09 and 389.29

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Solution

The fourth proportional to 684.07, 944.09 and 389.29 is: 537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 944.09 = 389.29 : x
  2. Step 2: Convert to fraction form
    684.07/944.09 = 389.29/x
  3. Step 3: Cross multiply
    684.07x = 944.09 × 389.29
  4. Step 4: Simplify right side
    684.07x = 367,518.13
  5. Step 5: Solve for x
    x = 367,518.13/684.07
  6. Step 6: Final answer
    x = 537.26

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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.