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Finding the Fourth Proportional to 677.82, 934.73 and 412.30

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Solution

The fourth proportional to 677.82, 934.73 and 412.30 is: 568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.82 : 934.73 = 412.30 : x
  2. Step 2: Convert to fraction form
    677.82/934.73 = 412.30/x
  3. Step 3: Cross multiply
    677.82x = 934.73 × 412.30
  4. Step 4: Simplify right side
    677.82x = 385,384.78
  5. Step 5: Solve for x
    x = 385,384.78/677.82
  6. Step 6: Final answer
    x = 568.57

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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.