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Finding the Fourth Proportional to 1,114.37, 1,536.36 and 914.47

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Solution

The fourth proportional to 1,114.37, 1,536.36 and 914.47 is: 1,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.37 : 1,536.36 = 914.47 : x
  2. Step 2: Convert to fraction form
    1,114.37/1,536.36 = 914.47/x
  3. Step 3: Cross multiply
    1,114.37x = 1,536.36 × 914.47
  4. Step 4: Simplify right side
    1,114.37x = 1,404,955.13
  5. Step 5: Solve for x
    x = 1,404,955.13/1,114.37
  6. Step 6: Final answer
    x = 1,260.76

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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.