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Finding the Fourth Proportional to 1,644.56, 2,267.40 and 1,178

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Solution

The fourth proportional to 1,644.56, 2,267.40 and 1,178 is: 1,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.56 : 2,267.40 = 1,178 : x
  2. Step 2: Convert to fraction form
    1,644.56/2,267.40 = 1,178/x
  3. Step 3: Cross multiply
    1,644.56x = 2,267.40 × 1,178
  4. Step 4: Simplify right side
    1,644.56x = 2,670,997.20
  5. Step 5: Solve for x
    x = 2,670,997.20/1,644.56
  6. Step 6: Final answer
    x = 1,624.14

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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.