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Finding the Fourth Proportional to 483.60, 721.05 and 478.74

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Solution

The fourth proportional to 483.60, 721.05 and 478.74 is: 713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.60 : 721.05 = 478.74 : x
  2. Step 2: Convert to fraction form
    483.60/721.05 = 478.74/x
  3. Step 3: Cross multiply
    483.60x = 721.05 × 478.74
  4. Step 4: Simplify right side
    483.60x = 345,195.48
  5. Step 5: Solve for x
    x = 345,195.48/483.60
  6. Step 6: Final answer
    x = 713.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.