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Finding the Fourth Proportional to 483.14, 721.86 and 478.82

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Solution

The fourth proportional to 483.14, 721.86 and 478.82 is: 715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.14 : 721.86 = 478.82 : x
  2. Step 2: Convert to fraction form
    483.14/721.86 = 478.82/x
  3. Step 3: Cross multiply
    483.14x = 721.86 × 478.82
  4. Step 4: Simplify right side
    483.14x = 345,641.01
  5. Step 5: Solve for x
    x = 345,641.01/483.14
  6. Step 6: Final answer
    x = 715.41

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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.