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Finding the Fourth Proportional to 1,178.44, 1,624.98 and 736.18

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Solution

The fourth proportional to 1,178.44, 1,624.98 and 736.18 is: 1,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.44 : 1,624.98 = 736.18 : x
  2. Step 2: Convert to fraction form
    1,178.44/1,624.98 = 736.18/x
  3. Step 3: Cross multiply
    1,178.44x = 1,624.98 × 736.18
  4. Step 4: Simplify right side
    1,178.44x = 1,196,277.78
  5. Step 5: Solve for x
    x = 1,196,277.78/1,178.44
  6. Step 6: Final answer
    x = 1,015.14

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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.