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Finding the Fourth Proportional to 618.56, 925.07 and 464.59

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Solution

The fourth proportional to 618.56, 925.07 and 464.59 is: 694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 925.07 = 464.59 : x
  2. Step 2: Convert to fraction form
    618.56/925.07 = 464.59/x
  3. Step 3: Cross multiply
    618.56x = 925.07 × 464.59
  4. Step 4: Simplify right side
    618.56x = 429,773.64
  5. Step 5: Solve for x
    x = 429,773.64/618.56
  6. Step 6: Final answer
    x = 694.80

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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.