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Finding the Fourth Proportional to 677.21, 934.52 and 382.46

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Solution

The fourth proportional to 677.21, 934.52 and 382.46 is: 527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.21 : 934.52 = 382.46 : x
  2. Step 2: Convert to fraction form
    677.21/934.52 = 382.46/x
  3. Step 3: Cross multiply
    677.21x = 934.52 × 382.46
  4. Step 4: Simplify right side
    677.21x = 357,409.93
  5. Step 5: Solve for x
    x = 357,409.93/677.21
  6. Step 6: Final answer
    x = 527.77

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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.