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Finding the Fourth Proportional to 521.24, 778.41 and 448.34

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Solution

The fourth proportional to 521.24, 778.41 and 448.34 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 778.41 = 448.34 : x
  2. Step 2: Convert to fraction form
    521.24/778.41 = 448.34/x
  3. Step 3: Cross multiply
    521.24x = 778.41 × 448.34
  4. Step 4: Simplify right side
    521.24x = 348,988.45
  5. Step 5: Solve for x
    x = 348,988.45/521.24
  6. Step 6: Final answer
    x = 669.54

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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.