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Finding the Fourth Proportional to 1,217.98, 1,826.99 and 396.25

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Solution

The fourth proportional to 1,217.98, 1,826.99 and 396.25 is: 594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.98 : 1,826.99 = 396.25 : x
  2. Step 2: Convert to fraction form
    1,217.98/1,826.99 = 396.25/x
  3. Step 3: Cross multiply
    1,217.98x = 1,826.99 × 396.25
  4. Step 4: Simplify right side
    1,217.98x = 723,941.21
  5. Step 5: Solve for x
    x = 723,941.21/1,217.98
  6. Step 6: Final answer
    x = 594.38

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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.