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Finding the Fourth Proportional to 478.92, 713.34 and 448.92

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Solution

The fourth proportional to 478.92, 713.34 and 448.92 is: 668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.92 : 713.34 = 448.92 : x
  2. Step 2: Convert to fraction form
    478.92/713.34 = 448.92/x
  3. Step 3: Cross multiply
    478.92x = 713.34 × 448.92
  4. Step 4: Simplify right side
    478.92x = 320,232.59
  5. Step 5: Solve for x
    x = 320,232.59/478.92
  6. Step 6: Final answer
    x = 668.66

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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.