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Finding the Fourth Proportional to 642.85, 884.82 and 549.28

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Solution

The fourth proportional to 642.85, 884.82 and 549.28 is: 756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.85 : 884.82 = 549.28 : x
  2. Step 2: Convert to fraction form
    642.85/884.82 = 549.28/x
  3. Step 3: Cross multiply
    642.85x = 884.82 × 549.28
  4. Step 4: Simplify right side
    642.85x = 486,013.93
  5. Step 5: Solve for x
    x = 486,013.93/642.85
  6. Step 6: Final answer
    x = 756.03

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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.