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Finding the Fourth Proportional to 453.29, 676.64 and 419.45

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Solution

The fourth proportional to 453.29, 676.64 and 419.45 is: 626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.29 : 676.64 = 419.45 : x
  2. Step 2: Convert to fraction form
    453.29/676.64 = 419.45/x
  3. Step 3: Cross multiply
    453.29x = 676.64 × 419.45
  4. Step 4: Simplify right side
    453.29x = 283,814.31
  5. Step 5: Solve for x
    x = 283,814.31/453.29
  6. Step 6: Final answer
    x = 626.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.