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Finding the Fourth Proportional to 729.19, 1,005.93 and 493.22

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Solution

The fourth proportional to 729.19, 1,005.93 and 493.22 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.19 : 1,005.93 = 493.22 : x
  2. Step 2: Convert to fraction form
    729.19/1,005.93 = 493.22/x
  3. Step 3: Cross multiply
    729.19x = 1,005.93 × 493.22
  4. Step 4: Simplify right side
    729.19x = 496,143.52
  5. Step 5: Solve for x
    x = 496,143.52/729.19
  6. Step 6: Final answer
    x = 680.41

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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.