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Finding the Fourth Proportional to 682.80, 1,021.93 and 460.16

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Solution

The fourth proportional to 682.80, 1,021.93 and 460.16 is: 688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,021.93 = 460.16 : x
  2. Step 2: Convert to fraction form
    682.80/1,021.93 = 460.16/x
  3. Step 3: Cross multiply
    682.80x = 1,021.93 × 460.16
  4. Step 4: Simplify right side
    682.80x = 470,251.31
  5. Step 5: Solve for x
    x = 470,251.31/682.80
  6. Step 6: Final answer
    x = 688.71

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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.