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Finding the Fourth Proportional to 729.56, 1,005.86 and 596.63

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Solution

The fourth proportional to 729.56, 1,005.86 and 596.63 is: 822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 1,005.86 = 596.63 : x
  2. Step 2: Convert to fraction form
    729.56/1,005.86 = 596.63/x
  3. Step 3: Cross multiply
    729.56x = 1,005.86 × 596.63
  4. Step 4: Simplify right side
    729.56x = 600,130.26
  5. Step 5: Solve for x
    x = 600,130.26/729.56
  6. Step 6: Final answer
    x = 822.59

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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.