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Finding the Fourth Proportional to 1,628.57, 2,442.16 and 641.23

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Solution

The fourth proportional to 1,628.57, 2,442.16 and 641.23 is: 961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.57 : 2,442.16 = 641.23 : x
  2. Step 2: Convert to fraction form
    1,628.57/2,442.16 = 641.23/x
  3. Step 3: Cross multiply
    1,628.57x = 2,442.16 × 641.23
  4. Step 4: Simplify right side
    1,628.57x = 1,565,978.55
  5. Step 5: Solve for x
    x = 1,565,978.55/1,628.57
  6. Step 6: Final answer
    x = 961.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.