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Finding the Fourth Proportional to 618.56, 925.99 and 456.36

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Solution

The fourth proportional to 618.56, 925.99 and 456.36 is: 683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 925.99 = 456.36 : x
  2. Step 2: Convert to fraction form
    618.56/925.99 = 456.36/x
  3. Step 3: Cross multiply
    618.56x = 925.99 × 456.36
  4. Step 4: Simplify right side
    618.56x = 422,586.00
  5. Step 5: Solve for x
    x = 422,586.00/618.56
  6. Step 6: Final answer
    x = 683.18

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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.