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Finding the Fourth Proportional to 677.84, 1,016.92 and 245

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Solution

The fourth proportional to 677.84, 1,016.92 and 245 is: 367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 1,016.92 = 245 : x
  2. Step 2: Convert to fraction form
    677.84/1,016.92 = 245/x
  3. Step 3: Cross multiply
    677.84x = 1,016.92 × 245
  4. Step 4: Simplify right side
    677.84x = 249,145.40
  5. Step 5: Solve for x
    x = 249,145.40/677.84
  6. Step 6: Final answer
    x = 367.56

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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.