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Finding the Fourth Proportional to 476.92, 718.32 and 443.12

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Solution

The fourth proportional to 476.92, 718.32 and 443.12 is: 667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.92 : 718.32 = 443.12 : x
  2. Step 2: Convert to fraction form
    476.92/718.32 = 443.12/x
  3. Step 3: Cross multiply
    476.92x = 718.32 × 443.12
  4. Step 4: Simplify right side
    476.92x = 318,301.96
  5. Step 5: Solve for x
    x = 318,301.96/476.92
  6. Step 6: Final answer
    x = 667.41

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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.