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Finding the Fourth Proportional to 427.66, 589.73 and 357.71

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Solution

The fourth proportional to 427.66, 589.73 and 357.71 is: 493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.66 : 589.73 = 357.71 : x
  2. Step 2: Convert to fraction form
    427.66/589.73 = 357.71/x
  3. Step 3: Cross multiply
    427.66x = 589.73 × 357.71
  4. Step 4: Simplify right side
    427.66x = 210,949.37
  5. Step 5: Solve for x
    x = 210,949.37/427.66
  6. Step 6: Final answer
    x = 493.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.