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Finding the Fourth Proportional to 676.41, 1,013.69 and 492.94

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Solution

The fourth proportional to 676.41, 1,013.69 and 492.94 is: 738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.41 : 1,013.69 = 492.94 : x
  2. Step 2: Convert to fraction form
    676.41/1,013.69 = 492.94/x
  3. Step 3: Cross multiply
    676.41x = 1,013.69 × 492.94
  4. Step 4: Simplify right side
    676.41x = 499,688.35
  5. Step 5: Solve for x
    x = 499,688.35/676.41
  6. Step 6: Final answer
    x = 738.74

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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.