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Finding the Fourth Proportional to 473.41, 705.79 and 461.42

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Solution

The fourth proportional to 473.41, 705.79 and 461.42 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.41 : 705.79 = 461.42 : x
  2. Step 2: Convert to fraction form
    473.41/705.79 = 461.42/x
  3. Step 3: Cross multiply
    473.41x = 705.79 × 461.42
  4. Step 4: Simplify right side
    473.41x = 325,660.94
  5. Step 5: Solve for x
    x = 325,660.94/473.41
  6. Step 6: Final answer
    x = 687.91

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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.