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Finding the Fourth Proportional to 907.78, 1,361.67 and 360.09

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Solution

The fourth proportional to 907.78, 1,361.67 and 360.09 is: 540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.78 : 1,361.67 = 360.09 : x
  2. Step 2: Convert to fraction form
    907.78/1,361.67 = 360.09/x
  3. Step 3: Cross multiply
    907.78x = 1,361.67 × 360.09
  4. Step 4: Simplify right side
    907.78x = 490,323.75
  5. Step 5: Solve for x
    x = 490,323.75/907.78
  6. Step 6: Final answer
    x = 540.14

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1.5x scale

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.