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Finding the Fourth Proportional to 676.38, 933.40 and 381.64

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Solution

The fourth proportional to 676.38, 933.40 and 381.64 is: 526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.38 : 933.40 = 381.64 : x
  2. Step 2: Convert to fraction form
    676.38/933.40 = 381.64/x
  3. Step 3: Cross multiply
    676.38x = 933.40 × 381.64
  4. Step 4: Simplify right side
    676.38x = 356,222.78
  5. Step 5: Solve for x
    x = 356,222.78/676.38
  6. Step 6: Final answer
    x = 526.66

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Double scale
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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.