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Finding the Fourth Proportional to 628.41, 862.25 and 617.47

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Solution

The fourth proportional to 628.41, 862.25 and 617.47 is: 847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.41 : 862.25 = 617.47 : x
  2. Step 2: Convert to fraction form
    628.41/862.25 = 617.47/x
  3. Step 3: Cross multiply
    628.41x = 862.25 × 617.47
  4. Step 4: Simplify right side
    628.41x = 532,413.11
  5. Step 5: Solve for x
    x = 532,413.11/628.41
  6. Step 6: Final answer
    x = 847.24

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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.