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Finding the Fourth Proportional to 820.68, 1,132.83 and 623.85

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Solution

The fourth proportional to 820.68, 1,132.83 and 623.85 is: 861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.68 : 1,132.83 = 623.85 : x
  2. Step 2: Convert to fraction form
    820.68/1,132.83 = 623.85/x
  3. Step 3: Cross multiply
    820.68x = 1,132.83 × 623.85
  4. Step 4: Simplify right side
    820.68x = 706,716.00
  5. Step 5: Solve for x
    x = 706,716.00/820.68
  6. Step 6: Final answer
    x = 861.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.