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Finding the Fourth Proportional to 907.96, 1,361.98 and 445.94

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Solution

The fourth proportional to 907.96, 1,361.98 and 445.94 is: 668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.96 : 1,361.98 = 445.94 : x
  2. Step 2: Convert to fraction form
    907.96/1,361.98 = 445.94/x
  3. Step 3: Cross multiply
    907.96x = 1,361.98 × 445.94
  4. Step 4: Simplify right side
    907.96x = 607,361.36
  5. Step 5: Solve for x
    x = 607,361.36/907.96
  6. Step 6: Final answer
    x = 668.93

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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.