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Finding the Fourth Proportional to 1,222.04, 1,833.02 and 811.06

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Solution

The fourth proportional to 1,222.04, 1,833.02 and 811.06 is: 1,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.04 : 1,833.02 = 811.06 : x
  2. Step 2: Convert to fraction form
    1,222.04/1,833.02 = 811.06/x
  3. Step 3: Cross multiply
    1,222.04x = 1,833.02 × 811.06
  4. Step 4: Simplify right side
    1,222.04x = 1,486,689.20
  5. Step 5: Solve for x
    x = 1,486,689.20/1,222.04
  6. Step 6: Final answer
    x = 1,216.56

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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.