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Finding the Fourth Proportional to 965.87, 1,448.81 and 307.77

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Solution

The fourth proportional to 965.87, 1,448.81 and 307.77 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.87 : 1,448.81 = 307.77 : x
  2. Step 2: Convert to fraction form
    965.87/1,448.81 = 307.77/x
  3. Step 3: Cross multiply
    965.87x = 1,448.81 × 307.77
  4. Step 4: Simplify right side
    965.87x = 445,907.53
  5. Step 5: Solve for x
    x = 445,907.53/965.87
  6. Step 6: Final answer
    x = 461.66

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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.