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Finding the Fourth Proportional to 648.84, 972.64 and 561.97

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Solution

The fourth proportional to 648.84, 972.64 and 561.97 is: 842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.84 : 972.64 = 561.97 : x
  2. Step 2: Convert to fraction form
    648.84/972.64 = 561.97/x
  3. Step 3: Cross multiply
    648.84x = 972.64 × 561.97
  4. Step 4: Simplify right side
    648.84x = 546,596.42
  5. Step 5: Solve for x
    x = 546,596.42/648.84
  6. Step 6: Final answer
    x = 842.42

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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.