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Finding the Fourth Proportional to 464.08, 695.56 and 427.60

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Solution

The fourth proportional to 464.08, 695.56 and 427.60 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.08 : 695.56 = 427.60 : x
  2. Step 2: Convert to fraction form
    464.08/695.56 = 427.60/x
  3. Step 3: Cross multiply
    464.08x = 695.56 × 427.60
  4. Step 4: Simplify right side
    464.08x = 297,421.46
  5. Step 5: Solve for x
    x = 297,421.46/464.08
  6. Step 6: Final answer
    x = 640.88

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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.