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Finding the Fourth Proportional to 573.65, 859.96 and 427.22

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Solution

The fourth proportional to 573.65, 859.96 and 427.22 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.65 : 859.96 = 427.22 : x
  2. Step 2: Convert to fraction form
    573.65/859.96 = 427.22/x
  3. Step 3: Cross multiply
    573.65x = 859.96 × 427.22
  4. Step 4: Simplify right side
    573.65x = 367,389.97
  5. Step 5: Solve for x
    x = 367,389.97/573.65
  6. Step 6: Final answer
    x = 640.45

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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.