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Finding the Fourth Proportional to 471.65, 649.50 and 340.43

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Solution

The fourth proportional to 471.65, 649.50 and 340.43 is: 468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.65 : 649.50 = 340.43 : x
  2. Step 2: Convert to fraction form
    471.65/649.50 = 340.43/x
  3. Step 3: Cross multiply
    471.65x = 649.50 × 340.43
  4. Step 4: Simplify right side
    471.65x = 221,109.29
  5. Step 5: Solve for x
    x = 221,109.29/471.65
  6. Step 6: Final answer
    x = 468.80

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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.