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Finding the Fourth Proportional to 464.42, 695.72 and 399.42

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Solution

The fourth proportional to 464.42, 695.72 and 399.42 is: 598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 695.72 = 399.42 : x
  2. Step 2: Convert to fraction form
    464.42/695.72 = 399.42/x
  3. Step 3: Cross multiply
    464.42x = 695.72 × 399.42
  4. Step 4: Simplify right side
    464.42x = 277,882.49
  5. Step 5: Solve for x
    x = 277,882.49/464.42
  6. Step 6: Final answer
    x = 598.35

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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.