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Finding the Fourth Proportional to 875.22, 1,305.44 and 824.46

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Solution

The fourth proportional to 875.22, 1,305.44 and 824.46 is: 1,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.22 : 1,305.44 = 824.46 : x
  2. Step 2: Convert to fraction form
    875.22/1,305.44 = 824.46/x
  3. Step 3: Cross multiply
    875.22x = 1,305.44 × 824.46
  4. Step 4: Simplify right side
    875.22x = 1,076,283.06
  5. Step 5: Solve for x
    x = 1,076,283.06/875.22
  6. Step 6: Final answer
    x = 1,229.73

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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.