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Finding the Fourth Proportional to 1,113.64, 1,536.92 and 616.36

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Solution

The fourth proportional to 1,113.64, 1,536.92 and 616.36 is: 850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.64 : 1,536.92 = 616.36 : x
  2. Step 2: Convert to fraction form
    1,113.64/1,536.92 = 616.36/x
  3. Step 3: Cross multiply
    1,113.64x = 1,536.92 × 616.36
  4. Step 4: Simplify right side
    1,113.64x = 947,296.01
  5. Step 5: Solve for x
    x = 947,296.01/1,113.64
  6. Step 6: Final answer
    x = 850.63

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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.