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Finding the Fourth Proportional to 1,025.75, 1,538.94 and 433.07

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Solution

The fourth proportional to 1,025.75, 1,538.94 and 433.07 is: 649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.75 : 1,538.94 = 433.07 : x
  2. Step 2: Convert to fraction form
    1,025.75/1,538.94 = 433.07/x
  3. Step 3: Cross multiply
    1,025.75x = 1,538.94 × 433.07
  4. Step 4: Simplify right side
    1,025.75x = 666,469.73
  5. Step 5: Solve for x
    x = 666,469.73/1,025.75
  6. Step 6: Final answer
    x = 649.74

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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.