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Finding the Fourth Proportional to 677.85, 1,016.31 and 312.44

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Solution

The fourth proportional to 677.85, 1,016.31 and 312.44 is: 468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.85 : 1,016.31 = 312.44 : x
  2. Step 2: Convert to fraction form
    677.85/1,016.31 = 312.44/x
  3. Step 3: Cross multiply
    677.85x = 1,016.31 × 312.44
  4. Step 4: Simplify right side
    677.85x = 317,530.81
  5. Step 5: Solve for x
    x = 317,530.81/677.85
  6. Step 6: Final answer
    x = 468.44

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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.