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Finding the Fourth Proportional to 453.48, 676.41 and 423.24

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Solution

The fourth proportional to 453.48, 676.41 and 423.24 is: 631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.48 : 676.41 = 423.24 : x
  2. Step 2: Convert to fraction form
    453.48/676.41 = 423.24/x
  3. Step 3: Cross multiply
    453.48x = 676.41 × 423.24
  4. Step 4: Simplify right side
    453.48x = 286,283.77
  5. Step 5: Solve for x
    x = 286,283.77/453.48
  6. Step 6: Final answer
    x = 631.30

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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.