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Finding the Fourth Proportional to 680.68, 939.06 and 473.80

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Solution

The fourth proportional to 680.68, 939.06 and 473.80 is: 653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.68 : 939.06 = 473.80 : x
  2. Step 2: Convert to fraction form
    680.68/939.06 = 473.80/x
  3. Step 3: Cross multiply
    680.68x = 939.06 × 473.80
  4. Step 4: Simplify right side
    680.68x = 444,926.63
  5. Step 5: Solve for x
    x = 444,926.63/680.68
  6. Step 6: Final answer
    x = 653.65

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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.