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Finding the Fourth Proportional to 676.50, 933.58 and 381.77

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Solution

The fourth proportional to 676.50, 933.58 and 381.77 is: 526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.50 : 933.58 = 381.77 : x
  2. Step 2: Convert to fraction form
    676.50/933.58 = 381.77/x
  3. Step 3: Cross multiply
    676.50x = 933.58 × 381.77
  4. Step 4: Simplify right side
    676.50x = 356,412.63
  5. Step 5: Solve for x
    x = 356,412.63/676.50
  6. Step 6: Final answer
    x = 526.85

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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.