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Finding the Fourth Proportional to 1,217.49, 1,826.24 and 601.49

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Solution

The fourth proportional to 1,217.49, 1,826.24 and 601.49 is: 902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.49 : 1,826.24 = 601.49 : x
  2. Step 2: Convert to fraction form
    1,217.49/1,826.24 = 601.49/x
  3. Step 3: Cross multiply
    1,217.49x = 1,826.24 × 601.49
  4. Step 4: Simplify right side
    1,217.49x = 1,098,452.96
  5. Step 5: Solve for x
    x = 1,098,452.96/1,217.49
  6. Step 6: Final answer
    x = 902.23

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1.5x scale

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.