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Finding the Fourth Proportional to 1,230.03, 1,696.95 and 787.77

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Solution

The fourth proportional to 1,230.03, 1,696.95 and 787.77 is: 1,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.03 : 1,696.95 = 787.77 : x
  2. Step 2: Convert to fraction form
    1,230.03/1,696.95 = 787.77/x
  3. Step 3: Cross multiply
    1,230.03x = 1,696.95 × 787.77
  4. Step 4: Simplify right side
    1,230.03x = 1,336,806.30
  5. Step 5: Solve for x
    x = 1,336,806.30/1,230.03
  6. Step 6: Final answer
    x = 1,086.81

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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.