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Finding the Fourth Proportional to 613.45, 846.29 and 463.81

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Solution

The fourth proportional to 613.45, 846.29 and 463.81 is: 639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.45 : 846.29 = 463.81 : x
  2. Step 2: Convert to fraction form
    613.45/846.29 = 463.81/x
  3. Step 3: Cross multiply
    613.45x = 846.29 × 463.81
  4. Step 4: Simplify right side
    613.45x = 392,511.21
  5. Step 5: Solve for x
    x = 392,511.21/613.45
  6. Step 6: Final answer
    x = 639.84

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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.