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Finding the Fourth Proportional to 561.97, 775.61 and 375.40

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Solution

The fourth proportional to 561.97, 775.61 and 375.40 is: 518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.97 : 775.61 = 375.40 : x
  2. Step 2: Convert to fraction form
    561.97/775.61 = 375.40/x
  3. Step 3: Cross multiply
    561.97x = 775.61 × 375.40
  4. Step 4: Simplify right side
    561.97x = 291,163.99
  5. Step 5: Solve for x
    x = 291,163.99/561.97
  6. Step 6: Final answer
    x = 518.11

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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.