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Finding the Fourth Proportional to 1,025.56, 1,537.41 and 615.49

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Solution

The fourth proportional to 1,025.56, 1,537.41 and 615.49 is: 922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.56 : 1,537.41 = 615.49 : x
  2. Step 2: Convert to fraction form
    1,025.56/1,537.41 = 615.49/x
  3. Step 3: Cross multiply
    1,025.56x = 1,537.41 × 615.49
  4. Step 4: Simplify right side
    1,025.56x = 946,260.48
  5. Step 5: Solve for x
    x = 946,260.48/1,025.56
  6. Step 6: Final answer
    x = 922.68

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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.