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Finding the Fourth Proportional to 394.40, 587.84 and 389.54

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Solution

The fourth proportional to 394.40, 587.84 and 389.54 is: 580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.40 : 587.84 = 389.54 : x
  2. Step 2: Convert to fraction form
    394.40/587.84 = 389.54/x
  3. Step 3: Cross multiply
    394.40x = 587.84 × 389.54
  4. Step 4: Simplify right side
    394.40x = 228,985.23
  5. Step 5: Solve for x
    x = 228,985.23/394.40
  6. Step 6: Final answer
    x = 580.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.