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Finding the Fourth Proportional to 470.09, 648.42 and 283.45

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Solution

The fourth proportional to 470.09, 648.42 and 283.45 is: 390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 648.42 = 283.45 : x
  2. Step 2: Convert to fraction form
    470.09/648.42 = 283.45/x
  3. Step 3: Cross multiply
    470.09x = 648.42 × 283.45
  4. Step 4: Simplify right side
    470.09x = 183,791.41
  5. Step 5: Solve for x
    x = 183,791.41/470.09
  6. Step 6: Final answer
    x = 390.97

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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.