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Finding the Fourth Proportional to 478.89, 713.25 and 448.92

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Solution

The fourth proportional to 478.89, 713.25 and 448.92 is: 668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.89 : 713.25 = 448.92 : x
  2. Step 2: Convert to fraction form
    478.89/713.25 = 448.92/x
  3. Step 3: Cross multiply
    478.89x = 713.25 × 448.92
  4. Step 4: Simplify right side
    478.89x = 320,192.19
  5. Step 5: Solve for x
    x = 320,192.19/478.89
  6. Step 6: Final answer
    x = 668.61

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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.