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Finding the Fourth Proportional to 464.60, 695.53 and 343.41

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Solution

The fourth proportional to 464.60, 695.53 and 343.41 is: 514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.60 : 695.53 = 343.41 : x
  2. Step 2: Convert to fraction form
    464.60/695.53 = 343.41/x
  3. Step 3: Cross multiply
    464.60x = 695.53 × 343.41
  4. Step 4: Simplify right side
    464.60x = 238,848.48
  5. Step 5: Solve for x
    x = 238,848.48/464.60
  6. Step 6: Final answer
    x = 514.09

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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.