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Finding the Fourth Proportional to 567.92, 852.10 and 406.88

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Solution

The fourth proportional to 567.92, 852.10 and 406.88 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 852.10 = 406.88 : x
  2. Step 2: Convert to fraction form
    567.92/852.10 = 406.88/x
  3. Step 3: Cross multiply
    567.92x = 852.10 × 406.88
  4. Step 4: Simplify right side
    567.92x = 346,702.45
  5. Step 5: Solve for x
    x = 346,702.45/567.92
  6. Step 6: Final answer
    x = 610.48

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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.