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Finding the Fourth Proportional to 442.07, 660.02 and 398.33

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Solution

The fourth proportional to 442.07, 660.02 and 398.33 is: 594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.07 : 660.02 = 398.33 : x
  2. Step 2: Convert to fraction form
    442.07/660.02 = 398.33/x
  3. Step 3: Cross multiply
    442.07x = 660.02 × 398.33
  4. Step 4: Simplify right side
    442.07x = 262,900.47
  5. Step 5: Solve for x
    x = 262,900.47/442.07
  6. Step 6: Final answer
    x = 594.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.