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Finding the Fourth Proportional to 729, 1,007.22 and 649.62

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Solution

The fourth proportional to 729, 1,007.22 and 649.62 is: 897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,007.22 = 649.62 : x
  2. Step 2: Convert to fraction form
    729/1,007.22 = 649.62/x
  3. Step 3: Cross multiply
    729x = 1,007.22 × 649.62
  4. Step 4: Simplify right side
    729x = 654,310.26
  5. Step 5: Solve for x
    x = 654,310.26/729
  6. Step 6: Final answer
    x = 897.54

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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.