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Finding the Fourth Proportional to 1,200.64, 1,646.08 and 1,178.77

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Solution

The fourth proportional to 1,200.64, 1,646.08 and 1,178.77 is: 1,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.64 : 1,646.08 = 1,178.77 : x
  2. Step 2: Convert to fraction form
    1,200.64/1,646.08 = 1,178.77/x
  3. Step 3: Cross multiply
    1,200.64x = 1,646.08 × 1,178.77
  4. Step 4: Simplify right side
    1,200.64x = 1,940,343.83
  5. Step 5: Solve for x
    x = 1,940,343.83/1,200.64
  6. Step 6: Final answer
    x = 1,616.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.