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Finding the Fourth Proportional to 453.14, 624.71 and 305.54

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Solution

The fourth proportional to 453.14, 624.71 and 305.54 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.14 : 624.71 = 305.54 : x
  2. Step 2: Convert to fraction form
    453.14/624.71 = 305.54/x
  3. Step 3: Cross multiply
    453.14x = 624.71 × 305.54
  4. Step 4: Simplify right side
    453.14x = 190,872.37
  5. Step 5: Solve for x
    x = 190,872.37/453.14
  6. Step 6: Final answer
    x = 421.22

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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.