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Finding the Fourth Proportional to 561.20, 774.50 and 340.16

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Solution

The fourth proportional to 561.20, 774.50 and 340.16 is: 469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.20 : 774.50 = 340.16 : x
  2. Step 2: Convert to fraction form
    561.20/774.50 = 340.16/x
  3. Step 3: Cross multiply
    561.20x = 774.50 × 340.16
  4. Step 4: Simplify right side
    561.20x = 263,453.92
  5. Step 5: Solve for x
    x = 263,453.92/561.20
  6. Step 6: Final answer
    x = 469.45

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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.