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Finding the Fourth Proportional to 477.92, 712.08 and 446.49

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Solution

The fourth proportional to 477.92, 712.08 and 446.49 is: 665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 712.08 = 446.49 : x
  2. Step 2: Convert to fraction form
    477.92/712.08 = 446.49/x
  3. Step 3: Cross multiply
    477.92x = 712.08 × 446.49
  4. Step 4: Simplify right side
    477.92x = 317,936.60
  5. Step 5: Solve for x
    x = 317,936.60/477.92
  6. Step 6: Final answer
    x = 665.25

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1.5x scale

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.