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Finding the Fourth Proportional to 830.35, 1,242.10 and 682.43

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Solution

The fourth proportional to 830.35, 1,242.10 and 682.43 is: 1,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.35 : 1,242.10 = 682.43 : x
  2. Step 2: Convert to fraction form
    830.35/1,242.10 = 682.43/x
  3. Step 3: Cross multiply
    830.35x = 1,242.10 × 682.43
  4. Step 4: Simplify right side
    830.35x = 847,642.89
  5. Step 5: Solve for x
    x = 847,642.89/830.35
  6. Step 6: Final answer
    x = 1,020.83

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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.