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Finding the Fourth Proportional to 862.64, 1,190.72 and 552.14

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Solution

The fourth proportional to 862.64, 1,190.72 and 552.14 is: 762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.64 : 1,190.72 = 552.14 : x
  2. Step 2: Convert to fraction form
    862.64/1,190.72 = 552.14/x
  3. Step 3: Cross multiply
    862.64x = 1,190.72 × 552.14
  4. Step 4: Simplify right side
    862.64x = 657,435.43
  5. Step 5: Solve for x
    x = 657,435.43/862.64
  6. Step 6: Final answer
    x = 762.12

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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.