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Finding the Fourth Proportional to 1,117.20, 1,677.60 and 843.60

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Solution

The fourth proportional to 1,117.20, 1,677.60 and 843.60 is: 1,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.20 : 1,677.60 = 843.60 : x
  2. Step 2: Convert to fraction form
    1,117.20/1,677.60 = 843.60/x
  3. Step 3: Cross multiply
    1,117.20x = 1,677.60 × 843.60
  4. Step 4: Simplify right side
    1,117.20x = 1,415,223.36
  5. Step 5: Solve for x
    x = 1,415,223.36/1,117.20
  6. Step 6: Final answer
    x = 1,266.76

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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.