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Finding the Fourth Proportional to 700.26, 965.94 and 437.82

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Solution

The fourth proportional to 700.26, 965.94 and 437.82 is: 603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.26 : 965.94 = 437.82 : x
  2. Step 2: Convert to fraction form
    700.26/965.94 = 437.82/x
  3. Step 3: Cross multiply
    700.26x = 965.94 × 437.82
  4. Step 4: Simplify right side
    700.26x = 422,907.85
  5. Step 5: Solve for x
    x = 422,907.85/700.26
  6. Step 6: Final answer
    x = 603.93

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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.