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Finding the Fourth Proportional to 420.51, 576.67 and 414.03

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Solution

The fourth proportional to 420.51, 576.67 and 414.03 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.51 : 576.67 = 414.03 : x
  2. Step 2: Convert to fraction form
    420.51/576.67 = 414.03/x
  3. Step 3: Cross multiply
    420.51x = 576.67 × 414.03
  4. Step 4: Simplify right side
    420.51x = 238,757.65
  5. Step 5: Solve for x
    x = 238,757.65/420.51
  6. Step 6: Final answer
    x = 567.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.