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Finding the Fourth Proportional to 476.92, 710.30 and 446.92

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Solution

The fourth proportional to 476.92, 710.30 and 446.92 is: 665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.92 : 710.30 = 446.92 : x
  2. Step 2: Convert to fraction form
    476.92/710.30 = 446.92/x
  3. Step 3: Cross multiply
    476.92x = 710.30 × 446.92
  4. Step 4: Simplify right side
    476.92x = 317,447.28
  5. Step 5: Solve for x
    x = 317,447.28/476.92
  6. Step 6: Final answer
    x = 665.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.