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Finding the Fourth Proportional to 561.04, 773.34 and 427.82

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Solution

The fourth proportional to 561.04, 773.34 and 427.82 is: 589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.04 : 773.34 = 427.82 : x
  2. Step 2: Convert to fraction form
    561.04/773.34 = 427.82/x
  3. Step 3: Cross multiply
    561.04x = 773.34 × 427.82
  4. Step 4: Simplify right side
    561.04x = 330,850.32
  5. Step 5: Solve for x
    x = 330,850.32/561.04
  6. Step 6: Final answer
    x = 589.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.