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Finding the Fourth Proportional to 676.09, 931.80 and 454.42

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Solution

The fourth proportional to 676.09, 931.80 and 454.42 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.09 : 931.80 = 454.42 : x
  2. Step 2: Convert to fraction form
    676.09/931.80 = 454.42/x
  3. Step 3: Cross multiply
    676.09x = 931.80 × 454.42
  4. Step 4: Simplify right side
    676.09x = 423,428.56
  5. Step 5: Solve for x
    x = 423,428.56/676.09
  6. Step 6: Final answer
    x = 626.29

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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.