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Finding the Fourth Proportional to 491.45, 677.46 and 351.72

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Solution

The fourth proportional to 491.45, 677.46 and 351.72 is: 484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.45 : 677.46 = 351.72 : x
  2. Step 2: Convert to fraction form
    491.45/677.46 = 351.72/x
  3. Step 3: Cross multiply
    491.45x = 677.46 × 351.72
  4. Step 4: Simplify right side
    491.45x = 238,276.23
  5. Step 5: Solve for x
    x = 238,276.23/491.45
  6. Step 6: Final answer
    x = 484.85

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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.