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Finding the Fourth Proportional to 802.74, 1,201.74 and 725.88

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Solution

The fourth proportional to 802.74, 1,201.74 and 725.88 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.74 : 1,201.74 = 725.88 : x
  2. Step 2: Convert to fraction form
    802.74/1,201.74 = 725.88/x
  3. Step 3: Cross multiply
    802.74x = 1,201.74 × 725.88
  4. Step 4: Simplify right side
    802.74x = 872,319.03
  5. Step 5: Solve for x
    x = 872,319.03/802.74
  6. Step 6: Final answer
    x = 1,086.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.