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Finding the Fourth Proportional to 471.65, 650.69 and 340.37

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Solution

The fourth proportional to 471.65, 650.69 and 340.37 is: 469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.65 : 650.69 = 340.37 : x
  2. Step 2: Convert to fraction form
    471.65/650.69 = 340.37/x
  3. Step 3: Cross multiply
    471.65x = 650.69 × 340.37
  4. Step 4: Simplify right side
    471.65x = 221,473.65
  5. Step 5: Solve for x
    x = 221,473.65/471.65
  6. Step 6: Final answer
    x = 469.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.