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Finding the Fourth Proportional to 728.82, 1,006.80 and 581.26

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Solution

The fourth proportional to 728.82, 1,006.80 and 581.26 is: 802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.82 : 1,006.80 = 581.26 : x
  2. Step 2: Convert to fraction form
    728.82/1,006.80 = 581.26/x
  3. Step 3: Cross multiply
    728.82x = 1,006.80 × 581.26
  4. Step 4: Simplify right side
    728.82x = 585,212.57
  5. Step 5: Solve for x
    x = 585,212.57/728.82
  6. Step 6: Final answer
    x = 802.96

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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.