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Finding the Fourth Proportional to 900.64, 1,241.04 and 866.56

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Solution

The fourth proportional to 900.64, 1,241.04 and 866.56 is: 1,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.64 : 1,241.04 = 866.56 : x
  2. Step 2: Convert to fraction form
    900.64/1,241.04 = 866.56/x
  3. Step 3: Cross multiply
    900.64x = 1,241.04 × 866.56
  4. Step 4: Simplify right side
    900.64x = 1,075,435.62
  5. Step 5: Solve for x
    x = 1,075,435.62/900.64
  6. Step 6: Final answer
    x = 1,194.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.