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Finding the Fourth Proportional to 676.38, 933.40 and 365.88

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Solution

The fourth proportional to 676.38, 933.40 and 365.88 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.38 : 933.40 = 365.88 : x
  2. Step 2: Convert to fraction form
    676.38/933.40 = 365.88/x
  3. Step 3: Cross multiply
    676.38x = 933.40 × 365.88
  4. Step 4: Simplify right side
    676.38x = 341,512.39
  5. Step 5: Solve for x
    x = 341,512.39/676.38
  6. Step 6: Final answer
    x = 504.91

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1.5x scale

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.