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Finding the Fourth Proportional to 561.22, 774.36 and 340.13

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Solution

The fourth proportional to 561.22, 774.36 and 340.13 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.22 : 774.36 = 340.13 : x
  2. Step 2: Convert to fraction form
    561.22/774.36 = 340.13/x
  3. Step 3: Cross multiply
    561.22x = 774.36 × 340.13
  4. Step 4: Simplify right side
    561.22x = 263,383.07
  5. Step 5: Solve for x
    x = 263,383.07/561.22
  6. Step 6: Final answer
    x = 469.30

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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.