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Finding the Fourth Proportional to 766.90, 1,057.98 and 518.14

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Solution

The fourth proportional to 766.90, 1,057.98 and 518.14 is: 714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.90 : 1,057.98 = 518.14 : x
  2. Step 2: Convert to fraction form
    766.90/1,057.98 = 518.14/x
  3. Step 3: Cross multiply
    766.90x = 1,057.98 × 518.14
  4. Step 4: Simplify right side
    766.90x = 548,181.76
  5. Step 5: Solve for x
    x = 548,181.76/766.90
  6. Step 6: Final answer
    x = 714.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.