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Finding the Fourth Proportional to 700.70, 965.99 and 438.54

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Solution

The fourth proportional to 700.70, 965.99 and 438.54 is: 604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.70 : 965.99 = 438.54 : x
  2. Step 2: Convert to fraction form
    700.70/965.99 = 438.54/x
  3. Step 3: Cross multiply
    700.70x = 965.99 × 438.54
  4. Step 4: Simplify right side
    700.70x = 423,625.25
  5. Step 5: Solve for x
    x = 423,625.25/700.70
  6. Step 6: Final answer
    x = 604.57

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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.