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Finding the Fourth Proportional to 470.80, 646.67 and 416.80

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Solution

The fourth proportional to 470.80, 646.67 and 416.80 is: 572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 646.67 = 416.80 : x
  2. Step 2: Convert to fraction form
    470.80/646.67 = 416.80/x
  3. Step 3: Cross multiply
    470.80x = 646.67 × 416.80
  4. Step 4: Simplify right side
    470.80x = 269,532.06
  5. Step 5: Solve for x
    x = 269,532.06/470.80
  6. Step 6: Final answer
    x = 572.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.