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Finding the Fourth Proportional to 531.92, 796.63 and 409.20

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Solution

The fourth proportional to 531.92, 796.63 and 409.20 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.92 : 796.63 = 409.20 : x
  2. Step 2: Convert to fraction form
    531.92/796.63 = 409.20/x
  3. Step 3: Cross multiply
    531.92x = 796.63 × 409.20
  4. Step 4: Simplify right side
    531.92x = 325,981.00
  5. Step 5: Solve for x
    x = 325,981.00/531.92
  6. Step 6: Final answer
    x = 612.84

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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.