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Finding the Fourth Proportional to 470.94, 649.53 and 313.29

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Solution

The fourth proportional to 470.94, 649.53 and 313.29 is: 432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.94 : 649.53 = 313.29 : x
  2. Step 2: Convert to fraction form
    470.94/649.53 = 313.29/x
  3. Step 3: Cross multiply
    470.94x = 649.53 × 313.29
  4. Step 4: Simplify right side
    470.94x = 203,491.25
  5. Step 5: Solve for x
    x = 203,491.25/470.94
  6. Step 6: Final answer
    x = 432.10

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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.