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Finding the Fourth Proportional to 647.29, 892.57 and 425.86

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Solution

The fourth proportional to 647.29, 892.57 and 425.86 is: 587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.29 : 892.57 = 425.86 : x
  2. Step 2: Convert to fraction form
    647.29/892.57 = 425.86/x
  3. Step 3: Cross multiply
    647.29x = 892.57 × 425.86
  4. Step 4: Simplify right side
    647.29x = 380,107.36
  5. Step 5: Solve for x
    x = 380,107.36/647.29
  6. Step 6: Final answer
    x = 587.23

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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.