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Finding the Fourth Proportional to 453.26, 624.77 and 305.64

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Solution

The fourth proportional to 453.26, 624.77 and 305.64 is: 421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.26 : 624.77 = 305.64 : x
  2. Step 2: Convert to fraction form
    453.26/624.77 = 305.64/x
  3. Step 3: Cross multiply
    453.26x = 624.77 × 305.64
  4. Step 4: Simplify right side
    453.26x = 190,955.47
  5. Step 5: Solve for x
    x = 190,955.47/453.26
  6. Step 6: Final answer
    x = 421.29

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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.