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Finding the Fourth Proportional to 642.08, 960.68 and 549.52

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Solution

The fourth proportional to 642.08, 960.68 and 549.52 is: 822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.08 : 960.68 = 549.52 : x
  2. Step 2: Convert to fraction form
    642.08/960.68 = 549.52/x
  3. Step 3: Cross multiply
    642.08x = 960.68 × 549.52
  4. Step 4: Simplify right side
    642.08x = 527,912.87
  5. Step 5: Solve for x
    x = 527,912.87/642.08
  6. Step 6: Final answer
    x = 822.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.