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Finding the Fourth Proportional to 470.71, 648.74 and 359.98

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Solution

The fourth proportional to 470.71, 648.74 and 359.98 is: 496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.71 : 648.74 = 359.98 : x
  2. Step 2: Convert to fraction form
    470.71/648.74 = 359.98/x
  3. Step 3: Cross multiply
    470.71x = 648.74 × 359.98
  4. Step 4: Simplify right side
    470.71x = 233,532.70
  5. Step 5: Solve for x
    x = 233,532.70/470.71
  6. Step 6: Final answer
    x = 496.13

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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.