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Finding the Fourth Proportional to 603.45, 828.43 and 520.43

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Solution

The fourth proportional to 603.45, 828.43 and 520.43 is: 714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.45 : 828.43 = 520.43 : x
  2. Step 2: Convert to fraction form
    603.45/828.43 = 520.43/x
  3. Step 3: Cross multiply
    603.45x = 828.43 × 520.43
  4. Step 4: Simplify right side
    603.45x = 431,134.38
  5. Step 5: Solve for x
    x = 431,134.38/603.45
  6. Step 6: Final answer
    x = 714.45

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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.