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Finding the Fourth Proportional to 648.10, 967.73 and 611.02

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Solution

The fourth proportional to 648.10, 967.73 and 611.02 is: 912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 967.73 = 611.02 : x
  2. Step 2: Convert to fraction form
    648.10/967.73 = 611.02/x
  3. Step 3: Cross multiply
    648.10x = 967.73 × 611.02
  4. Step 4: Simplify right side
    648.10x = 591,302.38
  5. Step 5: Solve for x
    x = 591,302.38/648.10
  6. Step 6: Final answer
    x = 912.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.