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Finding the Fourth Proportional to 875.60, 1,205.16 and 825.20

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Solution

The fourth proportional to 875.60, 1,205.16 and 825.20 is: 1,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.60 : 1,205.16 = 825.20 : x
  2. Step 2: Convert to fraction form
    875.60/1,205.16 = 825.20/x
  3. Step 3: Cross multiply
    875.60x = 1,205.16 × 825.20
  4. Step 4: Simplify right side
    875.60x = 994,498.03
  5. Step 5: Solve for x
    x = 994,498.03/875.60
  6. Step 6: Final answer
    x = 1,135.79

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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.