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Finding the Fourth Proportional to 729.27, 1,005.89 and 582.26

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Solution

The fourth proportional to 729.27, 1,005.89 and 582.26 is: 803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.27 : 1,005.89 = 582.26 : x
  2. Step 2: Convert to fraction form
    729.27/1,005.89 = 582.26/x
  3. Step 3: Cross multiply
    729.27x = 1,005.89 × 582.26
  4. Step 4: Simplify right side
    729.27x = 585,681.57
  5. Step 5: Solve for x
    x = 585,681.57/729.27
  6. Step 6: Final answer
    x = 803.11

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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.