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Finding the Fourth Proportional to 907.83, 1,361.74 and 249.66

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Solution

The fourth proportional to 907.83, 1,361.74 and 249.66 is: 374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.83 : 1,361.74 = 249.66 : x
  2. Step 2: Convert to fraction form
    907.83/1,361.74 = 249.66/x
  3. Step 3: Cross multiply
    907.83x = 1,361.74 × 249.66
  4. Step 4: Simplify right side
    907.83x = 339,968.90
  5. Step 5: Solve for x
    x = 339,968.90/907.83
  6. Step 6: Final answer
    x = 374.49

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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.