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Finding the Fourth Proportional to 822.57, 1,231.54 and 451.02

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Solution

The fourth proportional to 822.57, 1,231.54 and 451.02 is: 675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.57 : 1,231.54 = 451.02 : x
  2. Step 2: Convert to fraction form
    822.57/1,231.54 = 451.02/x
  3. Step 3: Cross multiply
    822.57x = 1,231.54 × 451.02
  4. Step 4: Simplify right side
    822.57x = 555,449.17
  5. Step 5: Solve for x
    x = 555,449.17/822.57
  6. Step 6: Final answer
    x = 675.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.