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Finding the Fourth Proportional to 453.03, 678.33 and 414.51

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Solution

The fourth proportional to 453.03, 678.33 and 414.51 is: 620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.03 : 678.33 = 414.51 : x
  2. Step 2: Convert to fraction form
    453.03/678.33 = 414.51/x
  3. Step 3: Cross multiply
    453.03x = 678.33 × 414.51
  4. Step 4: Simplify right side
    453.03x = 281,174.57
  5. Step 5: Solve for x
    x = 281,174.57/453.03
  6. Step 6: Final answer
    x = 620.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.