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Finding the Fourth Proportional to 649.63, 974.60 and 264.88

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Solution

The fourth proportional to 649.63, 974.60 and 264.88 is: 397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 974.60 = 264.88 : x
  2. Step 2: Convert to fraction form
    649.63/974.60 = 264.88/x
  3. Step 3: Cross multiply
    649.63x = 974.60 × 264.88
  4. Step 4: Simplify right side
    649.63x = 258,145.85
  5. Step 5: Solve for x
    x = 258,145.85/649.63
  6. Step 6: Final answer
    x = 397.38

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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.