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Finding the Fourth Proportional to 677.21, 1,016.49 and 312.26

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Solution

The fourth proportional to 677.21, 1,016.49 and 312.26 is: 468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.21 : 1,016.49 = 312.26 : x
  2. Step 2: Convert to fraction form
    677.21/1,016.49 = 312.26/x
  3. Step 3: Cross multiply
    677.21x = 1,016.49 × 312.26
  4. Step 4: Simplify right side
    677.21x = 317,404.08
  5. Step 5: Solve for x
    x = 317,404.08/677.21
  6. Step 6: Final answer
    x = 468.70

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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.