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Finding the Fourth Proportional to 821.03, 1,225.71 and 792.20

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Solution

The fourth proportional to 821.03, 1,225.71 and 792.20 is: 1,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.03 : 1,225.71 = 792.20 : x
  2. Step 2: Convert to fraction form
    821.03/1,225.71 = 792.20/x
  3. Step 3: Cross multiply
    821.03x = 1,225.71 × 792.20
  4. Step 4: Simplify right side
    821.03x = 971,004.90
  5. Step 5: Solve for x
    x = 971,004.90/821.03
  6. Step 6: Final answer
    x = 1,182.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.