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Finding the Fourth Proportional to 1,223.99, 1,832.82 and 811.83

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Solution

The fourth proportional to 1,223.99, 1,832.82 and 811.83 is: 1,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.99 : 1,832.82 = 811.83 : x
  2. Step 2: Convert to fraction form
    1,223.99/1,832.82 = 811.83/x
  3. Step 3: Cross multiply
    1,223.99x = 1,832.82 × 811.83
  4. Step 4: Simplify right side
    1,223.99x = 1,487,938.26
  5. Step 5: Solve for x
    x = 1,487,938.26/1,223.99
  6. Step 6: Final answer
    x = 1,215.65

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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.