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Finding the Fourth Proportional to 470.55, 648.81 and 359.85

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Solution

The fourth proportional to 470.55, 648.81 and 359.85 is: 496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.55 : 648.81 = 359.85 : x
  2. Step 2: Convert to fraction form
    470.55/648.81 = 359.85/x
  3. Step 3: Cross multiply
    470.55x = 648.81 × 359.85
  4. Step 4: Simplify right side
    470.55x = 233,474.28
  5. Step 5: Solve for x
    x = 233,474.28/470.55
  6. Step 6: Final answer
    x = 496.17

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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.