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Finding the Fourth Proportional to 603.78, 830.01 and 519.44

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Solution

The fourth proportional to 603.78, 830.01 and 519.44 is: 714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.78 : 830.01 = 519.44 : x
  2. Step 2: Convert to fraction form
    603.78/830.01 = 519.44/x
  3. Step 3: Cross multiply
    603.78x = 830.01 × 519.44
  4. Step 4: Simplify right side
    603.78x = 431,141.17
  5. Step 5: Solve for x
    x = 431,141.17/603.78
  6. Step 6: Final answer
    x = 714.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.