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Finding the Fourth Proportional to 478.17, 716.31 and 282.69

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Solution

The fourth proportional to 478.17, 716.31 and 282.69 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.17 : 716.31 = 282.69 : x
  2. Step 2: Convert to fraction form
    478.17/716.31 = 282.69/x
  3. Step 3: Cross multiply
    478.17x = 716.31 × 282.69
  4. Step 4: Simplify right side
    478.17x = 202,493.67
  5. Step 5: Solve for x
    x = 202,493.67/478.17
  6. Step 6: Final answer
    x = 423.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.