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Finding the Fourth Proportional to 1,025.43, 1,537.74 and 662.55

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Solution

The fourth proportional to 1,025.43, 1,537.74 and 662.55 is: 993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.43 : 1,537.74 = 662.55 : x
  2. Step 2: Convert to fraction form
    1,025.43/1,537.74 = 662.55/x
  3. Step 3: Cross multiply
    1,025.43x = 1,537.74 × 662.55
  4. Step 4: Simplify right side
    1,025.43x = 1,018,829.64
  5. Step 5: Solve for x
    x = 1,018,829.64/1,025.43
  6. Step 6: Final answer
    x = 993.56

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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.