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Finding the Fourth Proportional to 830.72, 1,244.96 and 396.96

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Solution

The fourth proportional to 830.72, 1,244.96 and 396.96 is: 594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.72 : 1,244.96 = 396.96 : x
  2. Step 2: Convert to fraction form
    830.72/1,244.96 = 396.96/x
  3. Step 3: Cross multiply
    830.72x = 1,244.96 × 396.96
  4. Step 4: Simplify right side
    830.72x = 494,199.32
  5. Step 5: Solve for x
    x = 494,199.32/830.72
  6. Step 6: Final answer
    x = 594.90

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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.