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Finding the Fourth Proportional to 411.30, 563.74 and 405.63

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Solution

The fourth proportional to 411.30, 563.74 and 405.63 is: 555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 563.74 = 405.63 : x
  2. Step 2: Convert to fraction form
    411.30/563.74 = 405.63/x
  3. Step 3: Cross multiply
    411.30x = 563.74 × 405.63
  4. Step 4: Simplify right side
    411.30x = 228,668.84
  5. Step 5: Solve for x
    x = 228,668.84/411.30
  6. Step 6: Final answer
    x = 555.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.