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Finding the Fourth Proportional to 705.05, 972.96 and 394.55

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Solution

The fourth proportional to 705.05, 972.96 and 394.55 is: 544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.05 : 972.96 = 394.55 : x
  2. Step 2: Convert to fraction form
    705.05/972.96 = 394.55/x
  3. Step 3: Cross multiply
    705.05x = 972.96 × 394.55
  4. Step 4: Simplify right side
    705.05x = 383,880.18
  5. Step 5: Solve for x
    x = 383,880.18/705.05
  6. Step 6: Final answer
    x = 544.47

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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.