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Finding the Fourth Proportional to 647, 892.92 and 414.32

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Solution

The fourth proportional to 647, 892.92 and 414.32 is: 571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 892.92 = 414.32 : x
  2. Step 2: Convert to fraction form
    647/892.92 = 414.32/x
  3. Step 3: Cross multiply
    647x = 892.92 × 414.32
  4. Step 4: Simplify right side
    647x = 369,954.61
  5. Step 5: Solve for x
    x = 369,954.61/647
  6. Step 6: Final answer
    x = 571.80

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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.