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Finding the Fourth Proportional to 464.39, 695.89 and 398.15

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Solution

The fourth proportional to 464.39, 695.89 and 398.15 is: 596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.39 : 695.89 = 398.15 : x
  2. Step 2: Convert to fraction form
    464.39/695.89 = 398.15/x
  3. Step 3: Cross multiply
    464.39x = 695.89 × 398.15
  4. Step 4: Simplify right side
    464.39x = 277,068.60
  5. Step 5: Solve for x
    x = 277,068.60/464.39
  6. Step 6: Final answer
    x = 596.63

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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.