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Finding the Fourth Proportional to 427.65, 590.49 and 375.81

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Solution

The fourth proportional to 427.65, 590.49 and 375.81 is: 518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.65 : 590.49 = 375.81 : x
  2. Step 2: Convert to fraction form
    427.65/590.49 = 375.81/x
  3. Step 3: Cross multiply
    427.65x = 590.49 × 375.81
  4. Step 4: Simplify right side
    427.65x = 221,914.81
  5. Step 5: Solve for x
    x = 221,914.81/427.65
  6. Step 6: Final answer
    x = 518.91

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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.