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Finding the Fourth Proportional to 473.27, 706.71 and 386.78

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Solution

The fourth proportional to 473.27, 706.71 and 386.78 is: 577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.27 : 706.71 = 386.78 : x
  2. Step 2: Convert to fraction form
    473.27/706.71 = 386.78/x
  3. Step 3: Cross multiply
    473.27x = 706.71 × 386.78
  4. Step 4: Simplify right side
    473.27x = 273,339.21
  5. Step 5: Solve for x
    x = 273,339.21/473.27
  6. Step 6: Final answer
    x = 577.56

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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.