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Finding the Fourth Proportional to 647.23, 892.69 and 411.24

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Solution

The fourth proportional to 647.23, 892.69 and 411.24 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.23 : 892.69 = 411.24 : x
  2. Step 2: Convert to fraction form
    647.23/892.69 = 411.24/x
  3. Step 3: Cross multiply
    647.23x = 892.69 × 411.24
  4. Step 4: Simplify right side
    647.23x = 367,113.70
  5. Step 5: Solve for x
    x = 367,113.70/647.23
  6. Step 6: Final answer
    x = 567.21

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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.