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Finding the Fourth Proportional to 1,025.43, 1,536.60 and 764.20

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Solution

The fourth proportional to 1,025.43, 1,536.60 and 764.20 is: 1,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.43 : 1,536.60 = 764.20 : x
  2. Step 2: Convert to fraction form
    1,025.43/1,536.60 = 764.20/x
  3. Step 3: Cross multiply
    1,025.43x = 1,536.60 × 764.20
  4. Step 4: Simplify right side
    1,025.43x = 1,174,269.72
  5. Step 5: Solve for x
    x = 1,174,269.72/1,025.43
  6. Step 6: Final answer
    x = 1,145.15

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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.