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Finding the Fourth Proportional to 601.56, 828.05 and 518.94

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Solution

The fourth proportional to 601.56, 828.05 and 518.94 is: 714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 828.05 = 518.94 : x
  2. Step 2: Convert to fraction form
    601.56/828.05 = 518.94/x
  3. Step 3: Cross multiply
    601.56x = 828.05 × 518.94
  4. Step 4: Simplify right side
    601.56x = 429,708.27
  5. Step 5: Solve for x
    x = 429,708.27/601.56
  6. Step 6: Final answer
    x = 714.32

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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.