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Finding the Fourth Proportional to 561.82, 775.22 and 375.01

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Solution

The fourth proportional to 561.82, 775.22 and 375.01 is: 517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.82 : 775.22 = 375.01 : x
  2. Step 2: Convert to fraction form
    561.82/775.22 = 375.01/x
  3. Step 3: Cross multiply
    561.82x = 775.22 × 375.01
  4. Step 4: Simplify right side
    561.82x = 290,711.44
  5. Step 5: Solve for x
    x = 290,711.44/561.82
  6. Step 6: Final answer
    x = 517.45

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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.