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Finding the Fourth Proportional to 682.16, 1,020.90 and 528.75

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Solution

The fourth proportional to 682.16, 1,020.90 and 528.75 is: 791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 1,020.90 = 528.75 : x
  2. Step 2: Convert to fraction form
    682.16/1,020.90 = 528.75/x
  3. Step 3: Cross multiply
    682.16x = 1,020.90 × 528.75
  4. Step 4: Simplify right side
    682.16x = 539,800.88
  5. Step 5: Solve for x
    x = 539,800.88/682.16
  6. Step 6: Final answer
    x = 791.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.