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Finding the Fourth Proportional to 470.94, 649.65 and 323.65

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Solution

The fourth proportional to 470.94, 649.65 and 323.65 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.94 : 649.65 = 323.65 : x
  2. Step 2: Convert to fraction form
    470.94/649.65 = 323.65/x
  3. Step 3: Cross multiply
    470.94x = 649.65 × 323.65
  4. Step 4: Simplify right side
    470.94x = 210,259.22
  5. Step 5: Solve for x
    x = 210,259.22/470.94
  6. Step 6: Final answer
    x = 446.47

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