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Finding the Fourth Proportional to 474.48, 712.17 and 445.32

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Solution

The fourth proportional to 474.48, 712.17 and 445.32 is: 668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.48 : 712.17 = 445.32 : x
  2. Step 2: Convert to fraction form
    474.48/712.17 = 445.32/x
  3. Step 3: Cross multiply
    474.48x = 712.17 × 445.32
  4. Step 4: Simplify right side
    474.48x = 317,143.54
  5. Step 5: Solve for x
    x = 317,143.54/474.48
  6. Step 6: Final answer
    x = 668.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.