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Finding the Fourth Proportional to 643.75, 965.45 and 297.07

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Solution

The fourth proportional to 643.75, 965.45 and 297.07 is: 445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.75 : 965.45 = 297.07 : x
  2. Step 2: Convert to fraction form
    643.75/965.45 = 297.07/x
  3. Step 3: Cross multiply
    643.75x = 965.45 × 297.07
  4. Step 4: Simplify right side
    643.75x = 286,804.56
  5. Step 5: Solve for x
    x = 286,804.56/643.75
  6. Step 6: Final answer
    x = 445.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.