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Finding the Fourth Proportional to 1,113.62, 1,536.71 and 641.49

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Solution

The fourth proportional to 1,113.62, 1,536.71 and 641.49 is: 885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.62 : 1,536.71 = 641.49 : x
  2. Step 2: Convert to fraction form
    1,113.62/1,536.71 = 641.49/x
  3. Step 3: Cross multiply
    1,113.62x = 1,536.71 × 641.49
  4. Step 4: Simplify right side
    1,113.62x = 985,775.13
  5. Step 5: Solve for x
    x = 985,775.13/1,113.62
  6. Step 6: Final answer
    x = 885.20

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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.