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Finding the Fourth Proportional to 802.08, 1,203.12 and 685.76

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Solution

The fourth proportional to 802.08, 1,203.12 and 685.76 is: 1,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.08 : 1,203.12 = 685.76 : x
  2. Step 2: Convert to fraction form
    802.08/1,203.12 = 685.76/x
  3. Step 3: Cross multiply
    802.08x = 1,203.12 × 685.76
  4. Step 4: Simplify right side
    802.08x = 825,051.57
  5. Step 5: Solve for x
    x = 825,051.57/802.08
  6. Step 6: Final answer
    x = 1,028.64

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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.