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Finding the Fourth Proportional to 561.60, 775.83 and 444.36

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Solution

The fourth proportional to 561.60, 775.83 and 444.36 is: 613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.60 : 775.83 = 444.36 : x
  2. Step 2: Convert to fraction form
    561.60/775.83 = 444.36/x
  3. Step 3: Cross multiply
    561.60x = 775.83 × 444.36
  4. Step 4: Simplify right side
    561.60x = 344,747.82
  5. Step 5: Solve for x
    x = 344,747.82/561.60
  6. Step 6: Final answer
    x = 613.87

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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.