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Finding the Fourth Proportional to 448.33, 671.47 and 377.65

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Solution

The fourth proportional to 448.33, 671.47 and 377.65 is: 565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.33 : 671.47 = 377.65 : x
  2. Step 2: Convert to fraction form
    448.33/671.47 = 377.65/x
  3. Step 3: Cross multiply
    448.33x = 671.47 × 377.65
  4. Step 4: Simplify right side
    448.33x = 253,580.65
  5. Step 5: Solve for x
    x = 253,580.65/448.33
  6. Step 6: Final answer
    x = 565.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.