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Finding the Fourth Proportional to 561, 774.22 and 340.12

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Solution

The fourth proportional to 561, 774.22 and 340.12 is: 469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561 : 774.22 = 340.12 : x
  2. Step 2: Convert to fraction form
    561/774.22 = 340.12/x
  3. Step 3: Cross multiply
    561x = 774.22 × 340.12
  4. Step 4: Simplify right side
    561x = 263,327.71
  5. Step 5: Solve for x
    x = 263,327.71/561
  6. Step 6: Final answer
    x = 469.39

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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.