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Finding the Fourth Proportional to 411.48, 564.17 and 410.27

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Solution

The fourth proportional to 411.48, 564.17 and 410.27 is: 562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 564.17 = 410.27 : x
  2. Step 2: Convert to fraction form
    411.48/564.17 = 410.27/x
  3. Step 3: Cross multiply
    411.48x = 564.17 × 410.27
  4. Step 4: Simplify right side
    411.48x = 231,457.15
  5. Step 5: Solve for x
    x = 231,457.15/411.48
  6. Step 6: Final answer
    x = 562.50

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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.