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Finding the Fourth Proportional to 648.78, 973.14 and 161.84

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Solution

The fourth proportional to 648.78, 973.14 and 161.84 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.78 : 973.14 = 161.84 : x
  2. Step 2: Convert to fraction form
    648.78/973.14 = 161.84/x
  3. Step 3: Cross multiply
    648.78x = 973.14 × 161.84
  4. Step 4: Simplify right side
    648.78x = 157,488.11
  5. Step 5: Solve for x
    x = 157,488.11/648.78
  6. Step 6: Final answer
    x = 242.75

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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.