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Finding the Fourth Proportional to 464.40, 635.58 and 459.54

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Solution

The fourth proportional to 464.40, 635.58 and 459.54 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 635.58 = 459.54 : x
  2. Step 2: Convert to fraction form
    464.40/635.58 = 459.54/x
  3. Step 3: Cross multiply
    464.40x = 635.58 × 459.54
  4. Step 4: Simplify right side
    464.40x = 292,074.43
  5. Step 5: Solve for x
    x = 292,074.43/464.40
  6. Step 6: Final answer
    x = 628.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.