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Finding the Fourth Proportional to 613.40, 846.42 and 377.28

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Solution

The fourth proportional to 613.40, 846.42 and 377.28 is: 520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.40 : 846.42 = 377.28 : x
  2. Step 2: Convert to fraction form
    613.40/846.42 = 377.28/x
  3. Step 3: Cross multiply
    613.40x = 846.42 × 377.28
  4. Step 4: Simplify right side
    613.40x = 319,337.34
  5. Step 5: Solve for x
    x = 319,337.34/613.40
  6. Step 6: Final answer
    x = 520.61

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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.