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Finding the Fourth Proportional to 642.12, 967.98 and 600.36

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Solution

The fourth proportional to 642.12, 967.98 and 600.36 is: 905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.12 : 967.98 = 600.36 : x
  2. Step 2: Convert to fraction form
    642.12/967.98 = 600.36/x
  3. Step 3: Cross multiply
    642.12x = 967.98 × 600.36
  4. Step 4: Simplify right side
    642.12x = 581,136.47
  5. Step 5: Solve for x
    x = 581,136.47/642.12
  6. Step 6: Final answer
    x = 905.03

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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.