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Finding the Fourth Proportional to 645.94, 967.20 and 542.44

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Solution

The fourth proportional to 645.94, 967.20 and 542.44 is: 812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 967.20 = 542.44 : x
  2. Step 2: Convert to fraction form
    645.94/967.20 = 542.44/x
  3. Step 3: Cross multiply
    645.94x = 967.20 × 542.44
  4. Step 4: Simplify right side
    645.94x = 524,647.97
  5. Step 5: Solve for x
    x = 524,647.97/645.94
  6. Step 6: Final answer
    x = 812.22

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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.