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Finding the Fourth Proportional to 518.12, 780.25 and 374.84

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Solution

The fourth proportional to 518.12, 780.25 and 374.84 is: 564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 780.25 = 374.84 : x
  2. Step 2: Convert to fraction form
    518.12/780.25 = 374.84/x
  3. Step 3: Cross multiply
    518.12x = 780.25 × 374.84
  4. Step 4: Simplify right side
    518.12x = 292,468.91
  5. Step 5: Solve for x
    x = 292,468.91/518.12
  6. Step 6: Final answer
    x = 564.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.