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Finding the Fourth Proportional to 680.45, 938.89 and 470.29

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Solution

The fourth proportional to 680.45, 938.89 and 470.29 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.45 : 938.89 = 470.29 : x
  2. Step 2: Convert to fraction form
    680.45/938.89 = 470.29/x
  3. Step 3: Cross multiply
    680.45x = 938.89 × 470.29
  4. Step 4: Simplify right side
    680.45x = 441,550.58
  5. Step 5: Solve for x
    x = 441,550.58/680.45
  6. Step 6: Final answer
    x = 648.91

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1.5x scale

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.