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Finding the Fourth Proportional to 574.03, 859.93 and 343.10

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Solution

The fourth proportional to 574.03, 859.93 and 343.10 is: 513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.03 : 859.93 = 343.10 : x
  2. Step 2: Convert to fraction form
    574.03/859.93 = 343.10/x
  3. Step 3: Cross multiply
    574.03x = 859.93 × 343.10
  4. Step 4: Simplify right side
    574.03x = 295,041.98
  5. Step 5: Solve for x
    x = 295,041.98/574.03
  6. Step 6: Final answer
    x = 513.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.