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Finding the Fourth Proportional to 474.07, 706.34 and 447.54

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Solution

The fourth proportional to 474.07, 706.34 and 447.54 is: 666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.07 : 706.34 = 447.54 : x
  2. Step 2: Convert to fraction form
    474.07/706.34 = 447.54/x
  3. Step 3: Cross multiply
    474.07x = 706.34 × 447.54
  4. Step 4: Simplify right side
    474.07x = 316,115.40
  5. Step 5: Solve for x
    x = 316,115.40/474.07
  6. Step 6: Final answer
    x = 666.81

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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.