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Finding the Fourth Proportional to 1,178.54, 1,768.28 and 485.55

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Solution

The fourth proportional to 1,178.54, 1,768.28 and 485.55 is: 728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.54 : 1,768.28 = 485.55 : x
  2. Step 2: Convert to fraction form
    1,178.54/1,768.28 = 485.55/x
  3. Step 3: Cross multiply
    1,178.54x = 1,768.28 × 485.55
  4. Step 4: Simplify right side
    1,178.54x = 858,579.30
  5. Step 5: Solve for x
    x = 858,579.30/1,178.54
  6. Step 6: Final answer
    x = 728.51

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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.