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Finding the Fourth Proportional to 650.24, 896.84 and 453.80

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Solution

The fourth proportional to 650.24, 896.84 and 453.80 is: 625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 896.84 = 453.80 : x
  2. Step 2: Convert to fraction form
    650.24/896.84 = 453.80/x
  3. Step 3: Cross multiply
    650.24x = 896.84 × 453.80
  4. Step 4: Simplify right side
    650.24x = 406,985.99
  5. Step 5: Solve for x
    x = 406,985.99/650.24
  6. Step 6: Final answer
    x = 625.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.