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Finding the Fourth Proportional to 478.06, 716.24 and 408.87

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Solution

The fourth proportional to 478.06, 716.24 and 408.87 is: 612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.06 : 716.24 = 408.87 : x
  2. Step 2: Convert to fraction form
    478.06/716.24 = 408.87/x
  3. Step 3: Cross multiply
    478.06x = 716.24 × 408.87
  4. Step 4: Simplify right side
    478.06x = 292,850.07
  5. Step 5: Solve for x
    x = 292,850.07/478.06
  6. Step 6: Final answer
    x = 612.58

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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.