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Finding the Fourth Proportional to 907.09, 1,361.96 and 561.89

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Solution

The fourth proportional to 907.09, 1,361.96 and 561.89 is: 843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.09 : 1,361.96 = 561.89 : x
  2. Step 2: Convert to fraction form
    907.09/1,361.96 = 561.89/x
  3. Step 3: Cross multiply
    907.09x = 1,361.96 × 561.89
  4. Step 4: Simplify right side
    907.09x = 765,271.70
  5. Step 5: Solve for x
    x = 765,271.70/907.09
  6. Step 6: Final answer
    x = 843.66

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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.