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Finding the Fourth Proportional to 601.93, 828.99 and 519.02

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Solution

The fourth proportional to 601.93, 828.99 and 519.02 is: 714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.93 : 828.99 = 519.02 : x
  2. Step 2: Convert to fraction form
    601.93/828.99 = 519.02/x
  3. Step 3: Cross multiply
    601.93x = 828.99 × 519.02
  4. Step 4: Simplify right side
    601.93x = 430,262.39
  5. Step 5: Solve for x
    x = 430,262.39/601.93
  6. Step 6: Final answer
    x = 714.80

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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.