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Finding the Fourth Proportional to 478.77, 717.13 and 273.23

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Solution

The fourth proportional to 478.77, 717.13 and 273.23 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.77 : 717.13 = 273.23 : x
  2. Step 2: Convert to fraction form
    478.77/717.13 = 273.23/x
  3. Step 3: Cross multiply
    478.77x = 717.13 × 273.23
  4. Step 4: Simplify right side
    478.77x = 195,941.43
  5. Step 5: Solve for x
    x = 195,941.43/478.77
  6. Step 6: Final answer
    x = 409.26

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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.