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Finding the Fourth Proportional to 676.08, 1,012.64 and 351.76

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Solution

The fourth proportional to 676.08, 1,012.64 and 351.76 is: 526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.08 : 1,012.64 = 351.76 : x
  2. Step 2: Convert to fraction form
    676.08/1,012.64 = 351.76/x
  3. Step 3: Cross multiply
    676.08x = 1,012.64 × 351.76
  4. Step 4: Simplify right side
    676.08x = 356,206.25
  5. Step 5: Solve for x
    x = 356,206.25/676.08
  6. Step 6: Final answer
    x = 526.87

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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.