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Finding the Fourth Proportional to 676.60, 934.16 and 415.07

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Solution

The fourth proportional to 676.60, 934.16 and 415.07 is: 573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 934.16 = 415.07 : x
  2. Step 2: Convert to fraction form
    676.60/934.16 = 415.07/x
  3. Step 3: Cross multiply
    676.60x = 934.16 × 415.07
  4. Step 4: Simplify right side
    676.60x = 387,735.05
  5. Step 5: Solve for x
    x = 387,735.05/676.60
  6. Step 6: Final answer
    x = 573.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.