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Finding the Fourth Proportional to 1,165.54, 1,608.44 and 641.57

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Solution

The fourth proportional to 1,165.54, 1,608.44 and 641.57 is: 885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.54 : 1,608.44 = 641.57 : x
  2. Step 2: Convert to fraction form
    1,165.54/1,608.44 = 641.57/x
  3. Step 3: Cross multiply
    1,165.54x = 1,608.44 × 641.57
  4. Step 4: Simplify right side
    1,165.54x = 1,031,926.85
  5. Step 5: Solve for x
    x = 1,031,926.85/1,165.54
  6. Step 6: Final answer
    x = 885.36

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1.5x scale

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.