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Finding the Fourth Proportional to 830.30, 1,244.61 and 343.62

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Solution

The fourth proportional to 830.30, 1,244.61 and 343.62 is: 515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.30 : 1,244.61 = 343.62 : x
  2. Step 2: Convert to fraction form
    830.30/1,244.61 = 343.62/x
  3. Step 3: Cross multiply
    830.30x = 1,244.61 × 343.62
  4. Step 4: Simplify right side
    830.30x = 427,672.89
  5. Step 5: Solve for x
    x = 427,672.89/830.30
  6. Step 6: Final answer
    x = 515.09

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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.