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Finding the Fourth Proportional to 1,112.13, 1,536.08 and 833.60

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Solution

The fourth proportional to 1,112.13, 1,536.08 and 833.60 is: 1,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.13 : 1,536.08 = 833.60 : x
  2. Step 2: Convert to fraction form
    1,112.13/1,536.08 = 833.60/x
  3. Step 3: Cross multiply
    1,112.13x = 1,536.08 × 833.60
  4. Step 4: Simplify right side
    1,112.13x = 1,280,464.44
  5. Step 5: Solve for x
    x = 1,280,464.44/1,112.13
  6. Step 6: Final answer
    x = 1,151.36

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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.