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Finding the Fourth Proportional to 676.30, 1,013.68 and 286.05

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Solution

The fourth proportional to 676.30, 1,013.68 and 286.05 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.30 : 1,013.68 = 286.05 : x
  2. Step 2: Convert to fraction form
    676.30/1,013.68 = 286.05/x
  3. Step 3: Cross multiply
    676.30x = 1,013.68 × 286.05
  4. Step 4: Simplify right side
    676.30x = 289,966.45
  5. Step 5: Solve for x
    x = 289,966.45/676.30
  6. Step 6: Final answer
    x = 428.76

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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.