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Finding the Fourth Proportional to 470.33, 648.67 and 359.63

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Solution

The fourth proportional to 470.33, 648.67 and 359.63 is: 495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.33 : 648.67 = 359.63 : x
  2. Step 2: Convert to fraction form
    470.33/648.67 = 359.63/x
  3. Step 3: Cross multiply
    470.33x = 648.67 × 359.63
  4. Step 4: Simplify right side
    470.33x = 233,281.19
  5. Step 5: Solve for x
    x = 233,281.19/470.33
  6. Step 6: Final answer
    x = 495.99

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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.