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Finding the Fourth Proportional to 820.84, 1,132.70 and 447.80

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Solution

The fourth proportional to 820.84, 1,132.70 and 447.80 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.84 : 1,132.70 = 447.80 : x
  2. Step 2: Convert to fraction form
    820.84/1,132.70 = 447.80/x
  3. Step 3: Cross multiply
    820.84x = 1,132.70 × 447.80
  4. Step 4: Simplify right side
    820.84x = 507,217.99
  5. Step 5: Solve for x
    x = 507,217.99/820.84
  6. Step 6: Final answer
    x = 617.93

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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.