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Finding the Fourth Proportional to 1,118.62, 1,677.80 and 296.96

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Solution

The fourth proportional to 1,118.62, 1,677.80 and 296.96 is: 445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.62 : 1,677.80 = 296.96 : x
  2. Step 2: Convert to fraction form
    1,118.62/1,677.80 = 296.96/x
  3. Step 3: Cross multiply
    1,118.62x = 1,677.80 × 296.96
  4. Step 4: Simplify right side
    1,118.62x = 498,234.37
  5. Step 5: Solve for x
    x = 498,234.37/1,118.62
  6. Step 6: Final answer
    x = 445.40

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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.