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Finding the Fourth Proportional to 574.16, 859.10 and 343.17

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Solution

The fourth proportional to 574.16, 859.10 and 343.17 is: 513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 859.10 = 343.17 : x
  2. Step 2: Convert to fraction form
    574.16/859.10 = 343.17/x
  3. Step 3: Cross multiply
    574.16x = 859.10 × 343.17
  4. Step 4: Simplify right side
    574.16x = 294,815.63
  5. Step 5: Solve for x
    x = 294,815.63/574.16
  6. Step 6: Final answer
    x = 513.48

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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.