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Finding the Fourth Proportional to 613.47, 846.90 and 380.73

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Solution

The fourth proportional to 613.47, 846.90 and 380.73 is: 525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.47 : 846.90 = 380.73 : x
  2. Step 2: Convert to fraction form
    613.47/846.90 = 380.73/x
  3. Step 3: Cross multiply
    613.47x = 846.90 × 380.73
  4. Step 4: Simplify right side
    613.47x = 322,440.24
  5. Step 5: Solve for x
    x = 322,440.24/613.47
  6. Step 6: Final answer
    x = 525.60

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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.