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Finding the Fourth Proportional to 680.95, 939.58 and 470.80

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Solution

The fourth proportional to 680.95, 939.58 and 470.80 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.95 : 939.58 = 470.80 : x
  2. Step 2: Convert to fraction form
    680.95/939.58 = 470.80/x
  3. Step 3: Cross multiply
    680.95x = 939.58 × 470.80
  4. Step 4: Simplify right side
    680.95x = 442,350.74
  5. Step 5: Solve for x
    x = 442,350.74/680.95
  6. Step 6: Final answer
    x = 649.61

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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.