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Finding the Fourth Proportional to 518.96, 782.30 and 480.08

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Solution

The fourth proportional to 518.96, 782.30 and 480.08 is: 723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 782.30 = 480.08 : x
  2. Step 2: Convert to fraction form
    518.96/782.30 = 480.08/x
  3. Step 3: Cross multiply
    518.96x = 782.30 × 480.08
  4. Step 4: Simplify right side
    518.96x = 375,566.58
  5. Step 5: Solve for x
    x = 375,566.58/518.96
  6. Step 6: Final answer
    x = 723.69

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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.