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Finding the Fourth Proportional to 1,226.80, 1,838.64 and 532.64

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Solution

The fourth proportional to 1,226.80, 1,838.64 and 532.64 is: 798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.80 : 1,838.64 = 532.64 : x
  2. Step 2: Convert to fraction form
    1,226.80/1,838.64 = 532.64/x
  3. Step 3: Cross multiply
    1,226.80x = 1,838.64 × 532.64
  4. Step 4: Simplify right side
    1,226.80x = 979,333.21
  5. Step 5: Solve for x
    x = 979,333.21/1,226.80
  6. Step 6: Final answer
    x = 798.28

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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.