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Finding the Fourth Proportional to 677.94, 1,016.62 and 209.35

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Solution

The fourth proportional to 677.94, 1,016.62 and 209.35 is: 313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 1,016.62 = 209.35 : x
  2. Step 2: Convert to fraction form
    677.94/1,016.62 = 209.35/x
  3. Step 3: Cross multiply
    677.94x = 1,016.62 × 209.35
  4. Step 4: Simplify right side
    677.94x = 212,830.14
  5. Step 5: Solve for x
    x = 212,830.14/677.94
  6. Step 6: Final answer
    x = 313.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.