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Finding the Fourth Proportional to 729.69, 1,008.01 and 582.14

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Solution

The fourth proportional to 729.69, 1,008.01 and 582.14 is: 804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.69 : 1,008.01 = 582.14 : x
  2. Step 2: Convert to fraction form
    729.69/1,008.01 = 582.14/x
  3. Step 3: Cross multiply
    729.69x = 1,008.01 × 582.14
  4. Step 4: Simplify right side
    729.69x = 586,802.94
  5. Step 5: Solve for x
    x = 586,802.94/729.69
  6. Step 6: Final answer
    x = 804.18

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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.