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Finding the Fourth Proportional to 642.52, 967.18 and 548.56

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Solution

The fourth proportional to 642.52, 967.18 and 548.56 is: 825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.52 : 967.18 = 548.56 : x
  2. Step 2: Convert to fraction form
    642.52/967.18 = 548.56/x
  3. Step 3: Cross multiply
    642.52x = 967.18 × 548.56
  4. Step 4: Simplify right side
    642.52x = 530,552.47
  5. Step 5: Solve for x
    x = 530,552.47/642.52
  6. Step 6: Final answer
    x = 825.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.