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Finding the Fourth Proportional to 483.21, 721.31 and 415.17

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Solution

The fourth proportional to 483.21, 721.31 and 415.17 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.21 : 721.31 = 415.17 : x
  2. Step 2: Convert to fraction form
    483.21/721.31 = 415.17/x
  3. Step 3: Cross multiply
    483.21x = 721.31 × 415.17
  4. Step 4: Simplify right side
    483.21x = 299,464.20
  5. Step 5: Solve for x
    x = 299,464.20/483.21
  6. Step 6: Final answer
    x = 619.74

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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.