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Finding the Fourth Proportional to 601.96, 830.15 and 380.53

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Solution

The fourth proportional to 601.96, 830.15 and 380.53 is: 524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.96 : 830.15 = 380.53 : x
  2. Step 2: Convert to fraction form
    601.96/830.15 = 380.53/x
  3. Step 3: Cross multiply
    601.96x = 830.15 × 380.53
  4. Step 4: Simplify right side
    601.96x = 315,896.98
  5. Step 5: Solve for x
    x = 315,896.98/601.96
  6. Step 6: Final answer
    x = 524.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.