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Finding the Fourth Proportional to 447.95, 675.25 and 429.41

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Solution

The fourth proportional to 447.95, 675.25 and 429.41 is: 647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.95 : 675.25 = 429.41 : x
  2. Step 2: Convert to fraction form
    447.95/675.25 = 429.41/x
  3. Step 3: Cross multiply
    447.95x = 675.25 × 429.41
  4. Step 4: Simplify right side
    447.95x = 289,959.72
  5. Step 5: Solve for x
    x = 289,959.72/447.95
  6. Step 6: Final answer
    x = 647.30

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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.