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Finding the Fourth Proportional to 642.82, 886.76 and 617.98

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Solution

The fourth proportional to 642.82, 886.76 and 617.98 is: 852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.82 : 886.76 = 617.98 : x
  2. Step 2: Convert to fraction form
    642.82/886.76 = 617.98/x
  3. Step 3: Cross multiply
    642.82x = 886.76 × 617.98
  4. Step 4: Simplify right side
    642.82x = 547,999.94
  5. Step 5: Solve for x
    x = 547,999.94/642.82
  6. Step 6: Final answer
    x = 852.49

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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.