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Finding the Fourth Proportional to 857.25, 1,182.73 and 525.51

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Solution

The fourth proportional to 857.25, 1,182.73 and 525.51 is: 725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,182.73 = 525.51 : x
  2. Step 2: Convert to fraction form
    857.25/1,182.73 = 525.51/x
  3. Step 3: Cross multiply
    857.25x = 1,182.73 × 525.51
  4. Step 4: Simplify right side
    857.25x = 621,536.44
  5. Step 5: Solve for x
    x = 621,536.44/857.25
  6. Step 6: Final answer
    x = 725.04

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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.