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Finding the Fourth Proportional to 649.44, 969.60 and 597.92

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Solution

The fourth proportional to 649.44, 969.60 and 597.92 is: 892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 969.60 = 597.92 : x
  2. Step 2: Convert to fraction form
    649.44/969.60 = 597.92/x
  3. Step 3: Cross multiply
    649.44x = 969.60 × 597.92
  4. Step 4: Simplify right side
    649.44x = 579,743.23
  5. Step 5: Solve for x
    x = 579,743.23/649.44
  6. Step 6: Final answer
    x = 892.68

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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.