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Finding the Fourth Proportional to 1,461.08, 2,188.49 and 910.55

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Solution

The fourth proportional to 1,461.08, 2,188.49 and 910.55 is: 1,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.08 : 2,188.49 = 910.55 : x
  2. Step 2: Convert to fraction form
    1,461.08/2,188.49 = 910.55/x
  3. Step 3: Cross multiply
    1,461.08x = 2,188.49 × 910.55
  4. Step 4: Simplify right side
    1,461.08x = 1,992,729.57
  5. Step 5: Solve for x
    x = 1,992,729.57/1,461.08
  6. Step 6: Final answer
    x = 1,363.87

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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.