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Finding the Fourth Proportional to 440.17, 662.89 and 397.33

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Solution

The fourth proportional to 440.17, 662.89 and 397.33 is: 598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.17 : 662.89 = 397.33 : x
  2. Step 2: Convert to fraction form
    440.17/662.89 = 397.33/x
  3. Step 3: Cross multiply
    440.17x = 662.89 × 397.33
  4. Step 4: Simplify right side
    440.17x = 263,386.08
  5. Step 5: Solve for x
    x = 263,386.08/440.17
  6. Step 6: Final answer
    x = 598.37

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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.