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Finding the Fourth Proportional to 561.49, 774.88 and 309.43

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Solution

The fourth proportional to 561.49, 774.88 and 309.43 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.49 : 774.88 = 309.43 : x
  2. Step 2: Convert to fraction form
    561.49/774.88 = 309.43/x
  3. Step 3: Cross multiply
    561.49x = 774.88 × 309.43
  4. Step 4: Simplify right side
    561.49x = 239,771.12
  5. Step 5: Solve for x
    x = 239,771.12/561.49
  6. Step 6: Final answer
    x = 427.03

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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.