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Finding the Fourth Proportional to 574.03, 859.16 and 406.94

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Solution

The fourth proportional to 574.03, 859.16 and 406.94 is: 609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.03 : 859.16 = 406.94 : x
  2. Step 2: Convert to fraction form
    574.03/859.16 = 406.94/x
  3. Step 3: Cross multiply
    574.03x = 859.16 × 406.94
  4. Step 4: Simplify right side
    574.03x = 349,623.29
  5. Step 5: Solve for x
    x = 349,623.29/574.03
  6. Step 6: Final answer
    x = 609.07

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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.