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Finding the Fourth Proportional to 684.75, 944.97 and 389.91

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Solution

The fourth proportional to 684.75, 944.97 and 389.91 is: 538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 944.97 = 389.91 : x
  2. Step 2: Convert to fraction form
    684.75/944.97 = 389.91/x
  3. Step 3: Cross multiply
    684.75x = 944.97 × 389.91
  4. Step 4: Simplify right side
    684.75x = 368,453.25
  5. Step 5: Solve for x
    x = 368,453.25/684.75
  6. Step 6: Final answer
    x = 538.08

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1.5x scale

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.