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Finding the Fourth Proportional to 676.29, 1,013.90 and 419.25

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Solution

The fourth proportional to 676.29, 1,013.90 and 419.25 is: 628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.29 : 1,013.90 = 419.25 : x
  2. Step 2: Convert to fraction form
    676.29/1,013.90 = 419.25/x
  3. Step 3: Cross multiply
    676.29x = 1,013.90 × 419.25
  4. Step 4: Simplify right side
    676.29x = 425,075.48
  5. Step 5: Solve for x
    x = 425,075.48/676.29
  6. Step 6: Final answer
    x = 628.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.