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Finding the Fourth Proportional to 682.01, 1,020.57 and 421.79

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Solution

The fourth proportional to 682.01, 1,020.57 and 421.79 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.01 : 1,020.57 = 421.79 : x
  2. Step 2: Convert to fraction form
    682.01/1,020.57 = 421.79/x
  3. Step 3: Cross multiply
    682.01x = 1,020.57 × 421.79
  4. Step 4: Simplify right side
    682.01x = 430,461.12
  5. Step 5: Solve for x
    x = 430,461.12/682.01
  6. Step 6: Final answer
    x = 631.17

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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.