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Finding the Fourth Proportional to 872.24, 1,205.25 and 649.08

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Solution

The fourth proportional to 872.24, 1,205.25 and 649.08 is: 896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.24 : 1,205.25 = 649.08 : x
  2. Step 2: Convert to fraction form
    872.24/1,205.25 = 649.08/x
  3. Step 3: Cross multiply
    872.24x = 1,205.25 × 649.08
  4. Step 4: Simplify right side
    872.24x = 782,303.67
  5. Step 5: Solve for x
    x = 782,303.67/872.24
  6. Step 6: Final answer
    x = 896.89

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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.