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Finding the Fourth Proportional to 427.60, 644.58 and 399.38

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Solution

The fourth proportional to 427.60, 644.58 and 399.38 is: 602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 644.58 = 399.38 : x
  2. Step 2: Convert to fraction form
    427.60/644.58 = 399.38/x
  3. Step 3: Cross multiply
    427.60x = 644.58 × 399.38
  4. Step 4: Simplify right side
    427.60x = 257,429.14
  5. Step 5: Solve for x
    x = 257,429.14/427.60
  6. Step 6: Final answer
    x = 602.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.