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Finding the Fourth Proportional to 821.48, 1,223.51 and 792.72

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Solution

The fourth proportional to 821.48, 1,223.51 and 792.72 is: 1,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.48 : 1,223.51 = 792.72 : x
  2. Step 2: Convert to fraction form
    821.48/1,223.51 = 792.72/x
  3. Step 3: Cross multiply
    821.48x = 1,223.51 × 792.72
  4. Step 4: Simplify right side
    821.48x = 969,896.88
  5. Step 5: Solve for x
    x = 969,896.88/821.48
  6. Step 6: Final answer
    x = 1,180.68

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1.5x scale

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.