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Finding the Fourth Proportional to 470.69, 649.77 and 313.60

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Solution

The fourth proportional to 470.69, 649.77 and 313.60 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 649.77 = 313.60 : x
  2. Step 2: Convert to fraction form
    470.69/649.77 = 313.60/x
  3. Step 3: Cross multiply
    470.69x = 649.77 × 313.60
  4. Step 4: Simplify right side
    470.69x = 203,767.87
  5. Step 5: Solve for x
    x = 203,767.87/470.69
  6. Step 6: Final answer
    x = 432.91

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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.