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Finding the Fourth Proportional to 561.36, 774.45 and 362.16

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Solution

The fourth proportional to 561.36, 774.45 and 362.16 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.36 : 774.45 = 362.16 : x
  2. Step 2: Convert to fraction form
    561.36/774.45 = 362.16/x
  3. Step 3: Cross multiply
    561.36x = 774.45 × 362.16
  4. Step 4: Simplify right side
    561.36x = 280,474.94
  5. Step 5: Solve for x
    x = 280,474.94/561.36
  6. Step 6: Final answer
    x = 499.64

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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.