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Finding the Fourth Proportional to 1,113.10, 1,536.08 and 641.08

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Solution

The fourth proportional to 1,113.10, 1,536.08 and 641.08 is: 884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.10 : 1,536.08 = 641.08 : x
  2. Step 2: Convert to fraction form
    1,113.10/1,536.08 = 641.08/x
  3. Step 3: Cross multiply
    1,113.10x = 1,536.08 × 641.08
  4. Step 4: Simplify right side
    1,113.10x = 984,748.88
  5. Step 5: Solve for x
    x = 984,748.88/1,113.10
  6. Step 6: Final answer
    x = 884.69

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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.