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Finding the Fourth Proportional to 828.83, 1,144.02 and 580.21

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Solution

The fourth proportional to 828.83, 1,144.02 and 580.21 is: 800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.83 : 1,144.02 = 580.21 : x
  2. Step 2: Convert to fraction form
    828.83/1,144.02 = 580.21/x
  3. Step 3: Cross multiply
    828.83x = 1,144.02 × 580.21
  4. Step 4: Simplify right side
    828.83x = 663,771.84
  5. Step 5: Solve for x
    x = 663,771.84/828.83
  6. Step 6: Final answer
    x = 800.85

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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.