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Finding the Fourth Proportional to 478.17, 716.27 and 438.30

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Solution

The fourth proportional to 478.17, 716.27 and 438.30 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.17 : 716.27 = 438.30 : x
  2. Step 2: Convert to fraction form
    478.17/716.27 = 438.30/x
  3. Step 3: Cross multiply
    478.17x = 716.27 × 438.30
  4. Step 4: Simplify right side
    478.17x = 313,938.95
  5. Step 5: Solve for x
    x = 313,938.95/478.17
  6. Step 6: Final answer
    x = 656.54

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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.