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Finding the Fourth Proportional to 471.58, 705.89 and 324.47

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Solution

The fourth proportional to 471.58, 705.89 and 324.47 is: 485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.58 : 705.89 = 324.47 : x
  2. Step 2: Convert to fraction form
    471.58/705.89 = 324.47/x
  3. Step 3: Cross multiply
    471.58x = 705.89 × 324.47
  4. Step 4: Simplify right side
    471.58x = 229,040.13
  5. Step 5: Solve for x
    x = 229,040.13/471.58
  6. Step 6: Final answer
    x = 485.69

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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.