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Finding the Fourth Proportional to 676.94, 1,013.04 and 416.86

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Solution

The fourth proportional to 676.94, 1,013.04 and 416.86 is: 623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.94 : 1,013.04 = 416.86 : x
  2. Step 2: Convert to fraction form
    676.94/1,013.04 = 416.86/x
  3. Step 3: Cross multiply
    676.94x = 1,013.04 × 416.86
  4. Step 4: Simplify right side
    676.94x = 422,293.32
  5. Step 5: Solve for x
    x = 422,293.32/676.94
  6. Step 6: Final answer
    x = 623.83

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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.