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Finding the Fourth Proportional to 1,118.50, 1,677.76 and 296.85

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Solution

The fourth proportional to 1,118.50, 1,677.76 and 296.85 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.50 : 1,677.76 = 296.85 : x
  2. Step 2: Convert to fraction form
    1,118.50/1,677.76 = 296.85/x
  3. Step 3: Cross multiply
    1,118.50x = 1,677.76 × 296.85
  4. Step 4: Simplify right side
    1,118.50x = 498,043.06
  5. Step 5: Solve for x
    x = 498,043.06/1,118.50
  6. Step 6: Final answer
    x = 445.28

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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.