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Finding the Fourth Proportional to 448.31, 675.86 and 376.63

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Solution

The fourth proportional to 448.31, 675.86 and 376.63 is: 567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.31 : 675.86 = 376.63 : x
  2. Step 2: Convert to fraction form
    448.31/675.86 = 376.63/x
  3. Step 3: Cross multiply
    448.31x = 675.86 × 376.63
  4. Step 4: Simplify right side
    448.31x = 254,549.15
  5. Step 5: Solve for x
    x = 254,549.15/448.31
  6. Step 6: Final answer
    x = 567.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.