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Finding the Fourth Proportional to 805.30, 1,212.05 and 686.36

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Solution

The fourth proportional to 805.30, 1,212.05 and 686.36 is: 1,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.30 : 1,212.05 = 686.36 : x
  2. Step 2: Convert to fraction form
    805.30/1,212.05 = 686.36/x
  3. Step 3: Cross multiply
    805.30x = 1,212.05 × 686.36
  4. Step 4: Simplify right side
    805.30x = 831,907.38
  5. Step 5: Solve for x
    x = 831,907.38/805.30
  6. Step 6: Final answer
    x = 1,033.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.