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Finding the Fourth Proportional to 561.51, 775.41 and 362.64

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Solution

The fourth proportional to 561.51, 775.41 and 362.64 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.51 : 775.41 = 362.64 : x
  2. Step 2: Convert to fraction form
    561.51/775.41 = 362.64/x
  3. Step 3: Cross multiply
    561.51x = 775.41 × 362.64
  4. Step 4: Simplify right side
    561.51x = 281,194.68
  5. Step 5: Solve for x
    x = 281,194.68/561.51
  6. Step 6: Final answer
    x = 500.78

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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.