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Finding the Fourth Proportional to 705.05, 972.99 and 443.07

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Solution

The fourth proportional to 705.05, 972.99 and 443.07 is: 611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.05 : 972.99 = 443.07 : x
  2. Step 2: Convert to fraction form
    705.05/972.99 = 443.07/x
  3. Step 3: Cross multiply
    705.05x = 972.99 × 443.07
  4. Step 4: Simplify right side
    705.05x = 431,102.68
  5. Step 5: Solve for x
    x = 431,102.68/705.05
  6. Step 6: Final answer
    x = 611.45

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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.