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Finding the Fourth Proportional to 521.48, 778.33 and 448.04

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Solution

The fourth proportional to 521.48, 778.33 and 448.04 is: 668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 778.33 = 448.04 : x
  2. Step 2: Convert to fraction form
    521.48/778.33 = 448.04/x
  3. Step 3: Cross multiply
    521.48x = 778.33 × 448.04
  4. Step 4: Simplify right side
    521.48x = 348,722.97
  5. Step 5: Solve for x
    x = 348,722.97/521.48
  6. Step 6: Final answer
    x = 668.72

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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.