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Finding the Fourth Proportional to 1,023.56, 1,412.89 and 650.75

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Solution

The fourth proportional to 1,023.56, 1,412.89 and 650.75 is: 898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.56 : 1,412.89 = 650.75 : x
  2. Step 2: Convert to fraction form
    1,023.56/1,412.89 = 650.75/x
  3. Step 3: Cross multiply
    1,023.56x = 1,412.89 × 650.75
  4. Step 4: Simplify right side
    1,023.56x = 919,435.12
  5. Step 5: Solve for x
    x = 919,435.12/1,023.56
  6. Step 6: Final answer
    x = 898.27

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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.