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Finding the Fourth Proportional to 476.67, 717.94 and 442.87

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Solution

The fourth proportional to 476.67, 717.94 and 442.87 is: 667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.67 : 717.94 = 442.87 : x
  2. Step 2: Convert to fraction form
    476.67/717.94 = 442.87/x
  3. Step 3: Cross multiply
    476.67x = 717.94 × 442.87
  4. Step 4: Simplify right side
    476.67x = 317,954.09
  5. Step 5: Solve for x
    x = 317,954.09/476.67
  6. Step 6: Final answer
    x = 667.03

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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.