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Finding the Fourth Proportional to 802.42, 1,201.63 and 686.69

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Solution

The fourth proportional to 802.42, 1,201.63 and 686.69 is: 1,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.42 : 1,201.63 = 686.69 : x
  2. Step 2: Convert to fraction form
    802.42/1,201.63 = 686.69/x
  3. Step 3: Cross multiply
    802.42x = 1,201.63 × 686.69
  4. Step 4: Simplify right side
    802.42x = 825,147.30
  5. Step 5: Solve for x
    x = 825,147.30/802.42
  6. Step 6: Final answer
    x = 1,028.32

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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.