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Finding the Fourth Proportional to 441.92, 659.86 and 377.12

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Solution

The fourth proportional to 441.92, 659.86 and 377.12 is: 563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 659.86 = 377.12 : x
  2. Step 2: Convert to fraction form
    441.92/659.86 = 377.12/x
  3. Step 3: Cross multiply
    441.92x = 659.86 × 377.12
  4. Step 4: Simplify right side
    441.92x = 248,846.40
  5. Step 5: Solve for x
    x = 248,846.40/441.92
  6. Step 6: Final answer
    x = 563.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.