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Finding the Fourth Proportional to 470.23, 649.05 and 322.86

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Solution

The fourth proportional to 470.23, 649.05 and 322.86 is: 445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.23 : 649.05 = 322.86 : x
  2. Step 2: Convert to fraction form
    470.23/649.05 = 322.86/x
  3. Step 3: Cross multiply
    470.23x = 649.05 × 322.86
  4. Step 4: Simplify right side
    470.23x = 209,552.28
  5. Step 5: Solve for x
    x = 209,552.28/470.23
  6. Step 6: Final answer
    x = 445.64

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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.