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Finding the Fourth Proportional to 676.77, 933.94 and 382.04

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Solution

The fourth proportional to 676.77, 933.94 and 382.04 is: 527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.77 : 933.94 = 382.04 : x
  2. Step 2: Convert to fraction form
    676.77/933.94 = 382.04/x
  3. Step 3: Cross multiply
    676.77x = 933.94 × 382.04
  4. Step 4: Simplify right side
    676.77x = 356,798.25
  5. Step 5: Solve for x
    x = 356,798.25/676.77
  6. Step 6: Final answer
    x = 527.20

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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.