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Finding the Fourth Proportional to 447.71, 674.93 and 417.98

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Solution

The fourth proportional to 447.71, 674.93 and 417.98 is: 630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.71 : 674.93 = 417.98 : x
  2. Step 2: Convert to fraction form
    447.71/674.93 = 417.98/x
  3. Step 3: Cross multiply
    447.71x = 674.93 × 417.98
  4. Step 4: Simplify right side
    447.71x = 282,107.24
  5. Step 5: Solve for x
    x = 282,107.24/447.71
  6. Step 6: Final answer
    x = 630.11

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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.