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Finding the Fourth Proportional to 1,455.30, 2,008.22 and 825.84

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Solution

The fourth proportional to 1,455.30, 2,008.22 and 825.84 is: 1,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.30 : 2,008.22 = 825.84 : x
  2. Step 2: Convert to fraction form
    1,455.30/2,008.22 = 825.84/x
  3. Step 3: Cross multiply
    1,455.30x = 2,008.22 × 825.84
  4. Step 4: Simplify right side
    1,455.30x = 1,658,464.28
  5. Step 5: Solve for x
    x = 1,658,464.28/1,455.30
  6. Step 6: Final answer
    x = 1,139.60

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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.