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Finding the Fourth Proportional to 561.46, 775.74 and 444.32

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Solution

The fourth proportional to 561.46, 775.74 and 444.32 is: 613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.46 : 775.74 = 444.32 : x
  2. Step 2: Convert to fraction form
    561.46/775.74 = 444.32/x
  3. Step 3: Cross multiply
    561.46x = 775.74 × 444.32
  4. Step 4: Simplify right side
    561.46x = 344,676.80
  5. Step 5: Solve for x
    x = 344,676.80/561.46
  6. Step 6: Final answer
    x = 613.89

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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.